Differential Equations

Papers
(The median citation count of Differential Equations is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)
ArticleCitations
Conditions for the Existence of Cycles in a System of Differential Equations26
Spectral Test for the Exponential Stability13
Exact Solutions of Three Sobolev Equations Containing Fourth-Order Pseudo-Laplacians11
Probabilistic Interpretation of the Cauchy Problem for Systems of Nonlinear Parabolic Equations10
Multistep Methods for Second-Order Differential-Algebraic Equations9
Linear Version of the Anti-Perron Effect of Change of Positive Characteristic Exponents to Negative Ones8
Application of Differential-Geometric Methods of Control Theory in the Theory of Partial Differential Equations. II8
On the Solvability of a Periodic Problem for a System of Ordinary Differential Equations with the Main Positive Homogeneous Nonlinearity8
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator8
Regularity of the Pressure Function for Weak Solutions of the Nonstationary Navier–Stokes Equations7
Solving a One-Dimensional Hypersingular Integral Equation Using Haar’s Wavelets7
On the Fundamental Solution of a Parabolic Equation with Dini Continuous Coefficients7
On the Multiplicity of Eigenvalues of a Fourth-Order Differential Operator on a Graph7
Initial Value Problem for a Third-Order Nonlinear Integro-Differential Equation of Convolution Type7
On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source6
Uniqueness of the Solution of the Gellerstedt Problem for the Lavrent’ev–Bitsadze Equation with a Spectral Parameter6
On the Properties of Solutions of the Equations in the Generalized Hierarchy of the Equation $$P_{34}$$6
Pseudodifferential Equations and Boundary Value Problems in a Multidimensional Cone6
Sufficient Conditions for the Existence of Stabilizing Controllers for Switched Interval Systems6
Equivalence of Entropy and Renormalized Solutions of a Nonlinear Elliptic Problem in Musielak–Orlicz Spaces6
Estimates of Solutions of Second-Order Linear Elliptic Inequalities6
Adaptive Interpolation Algorithm on Sparse Meshes for Numerical Integration of Systems of Ordinary Differential Equations with Interval Uncertainties6
On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source6
Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria5
State Observer for a Four-Dimensional System with Vector Output5
Geometric Conservation Law for Finite Volume Discretization of the Stefan Problem on Boundary-Fitted Grids5
On the Unique Solvability of the Optimal Starting Control Problem for the Linearized Equations of Motion of a Viscoelastic Medium5
On Constructing a Piecewise Affine Stabilizer for a Nonlinear System5
Studying Volterra Integro-Differential Equations by Methods of the Theory of Operator Semigroups5
Inverse Problem of Determining an Unknown Coefficient in the Beam Vibration Equation5
On the Existence of Feedback Control for One Fractional Voigt Model5
The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis5
On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation5
On the Absence of Solutions of Differential Inequalities with the $$\infty $$-Laplacian5
On the Existence of a Periodic Mode in a Nonlinear System5
System without Characteristic Directions with a Nonanalytic Center Condition4
On the First Initial–Boundary Value Problem for a Model Parabolic System in a Domain with Curvilinear Lateral Boundaries4
Family of Logarithmic Spirals in Hamiltonian Systems of Dimension 8 with Control in a Disk4
On the Uniqueness of the Solution of the Inverse Coefficient Problem for the Helmholtz Equation in a Phaseless Spatially Nonoverdetermined Statement4
On the Stability of Solutions to Control Problems for a Nonlinear Reaction–Diffusion–Convection Model4
Finite Stabilization Controllers for Hybrid Linear Continuous-Discrete Systems4
On the Solvability of Fredholm Boundary Integral Equations of the First Kind for the Three-Dimensional Transmission Problem on the Spectrum4
On the Asymptotic Behavior of Solutions of Odd-Order Differential Equations with Oscillating Coefficients4
Simultaneous Stabilization of a Family of Linear Dynamic Plants4
On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant3
Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations3
On the Relationship between the Solutions of an Abstract Euler–Poisson–Darboux Equation and Fractional Powers of the Operator Coefficient in the Equation3
Uniform Convergence of Spectral Expansions for a Problem with a Boundary Condition Depending on a Spectral Parameter3
On Multiwave Solutions of One Nonlinear Schrödinger Equation3
Development of the Lomov Regularization Method for a Singularly Perturbed Cauchy Problem and a Boundary Value Problem on the Half-Line for Parabolic Equations with a “Simple” Rational Turning Point3
Example of a Differential System with Complete Perron and Upper-Limit Instability but Massive Partial Stability3
On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold3
Phragmén–Lindelöf Type Theorems3
High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients3
On the Solvability of a System of Nonlinear Integral Equations with the Hammerstein–Stieltjes Operator on the Half-Line3
Estimates for the Locally Periodic Homogenization of the Riemann–Hilbert Problem for a Generalized Beltrami Equation3
Explicit–Implicit Schemes for Calculating Dynamics of Elastoviscoplastic Media with Softening3
Lyapunov Function Method for Systems of Difference Equations: Stability with Respect to Part of the Variables3
On $$A$$-Orbital Linearization of Three-Dimensional Single-Input Affine Systems3
Searching for Parameters of a Model with the Best Local Controllability3
Erratum to: On the Eighty-Fifth Anniversary of Viktor Antonovich Sadovnichii3
Application of a Generalized Fixed Point Principle to the Study of a System of Nonlinear Integral Equations Arising in the Population Dynamics Model3
Invariants of Geodesic, Potential, and Dissipative Systems with Three Degrees of Freedom3
Stabilization of a Differential-Difference System of Delay Type3
Construction of Polynomial Eigenfunctions of a Second-Order Linear Differential Equation3
Well-Posed Solvability of Volterra Integro-Differential Equations Arising in Viscoelasticity Theory3
A Method for Studying Integral Equations by Using a Covering Set of the Nemytskii Operator in Spaces of Measurable Functions3
The Cauchy Problem for a Nonlinear Wave Equation3
On the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions3
On Optimal Discretization of Solutions of the Heat Equation and the Limit Error of the Optimum Computing Unit3
Chaotic Dynamics of Homogeneous Yang–Mills Fields with Three Degrees of Freedom3
Solvability of an Initial–Boundary Value Problem for the Modified Kelvin–Voigt Model with Memory along Fluid Motion Trajectories3
Generalized Solutions of Stationary Boundary Value Problems for Biwave Equations3
Approximations to Problems of Optimal Control of Leading Coefficients of Elliptic Equations in Nondivergence Form with an Unbounded Nonlinearity in the Coefficients3
Classification of Quasilinear Systems of Ordinary Differential Equations and Its Application to Normalization of Systems in the Bogdanov–Takens Critical Case3
Computation of the Leading Eigenvalue and the Corresponding Eigenelement of Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter3
A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings3
Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm2
Initial–Boundary Value Problem for Flows of a Fluid with Memory in a 3D Network-Like Domain2
Variational Methods for Solving Problems Associated with Artificial Intelligence2
On the Fundamental Solution Matrix of the Plane Anisotropic Elasticity Theory2
Methods for Parametric Identification of Fractional Differential Equations2
Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations2
Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations2
On the Relationship Between the Pontryagin Maximum Principle and the Hamilton–Jacobi–Bellman Equation in Optimal Control Problems for Fractional-Order Systems2
To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential Systems2
On the Existence of Periodic Solutions of a System of Second-Order Ordinary Differential Equations with a Quasihomogeneous Nonlinearity2
Globally Stable Difference Schemes for the Fisher Equation2
Reflecting Function and a Generalization of the Notion of First Integral2
On Asymptotics of the Spectrum of an Integral Operator with a Logarithmic Kernel of a Special Form2
Construction of Diagonal Lyapunov–Krasovskii Functionals for a Class of Positive Differential-Algebraic Systems2
Stability Change of Invariant Manifolds of Differential Systems with Multiscale Variables2
Existence of an Anti-Perron Effect of Change of Positive Exponents of the Linear Approximation System to Negative Ones under Perturbations of a Higher Order of Smallness2
Validation of a Computational Algorithm Based on the Discontinuous Galerkin Method for the Baer–Nunziato Relaxation Model2
On the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems2
Global Algebraic Poincaré–Bendixson Annulus for the van der Pol System2
On Feedback Control Systems Governed by Fractional Differential Inclusions2
Initial–Boundary Value Problem for a Three-Dimensional Equation of the Parabolic-Hyperbolic Type2
Description of a Linear Perron Effect under Parametric Perturbations of a Linear Differential System with Unbounded Coefficients2
Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures2
On the Problem of Separation of Variables in Systems of Ordinary Differential Equations2
Approximate Solution of the Inverse Boundary Value Problem for a Singularly Perturbed System of Partial Differential Equations2
Solution of Some Problems for the String Vibration Equation in a Half-Strip by Quadratures2
Theoretical Aspects of Constructing a Neurocontroller for Switched Systems2
On the Monotonicity of Solutions of Nonlinear Systems with Respect to the Initial Conditions2
Existence and Uniqueness of Solutions of Some Cauchy Problems for the Emden–Fowler Equation2
Integration of the Negative-Order Modified Korteweg–de Vries Equation with a Loaded Term in the Class of Periodic Functions2
On the Numerical Solution of Nonconservative Hyperbolic Systems of Equations2
On the Properties of Conservative Finite Volume Scheme for the Two-Phase Stefan Problem2
Properties of a System of Integral Equations of the First Kind in Problems of Diffraction by a Permeable Body2
A Difference Scheme with Well-Controlled Dissipation for Solving the Kapila Model Equations2
Spectral Properties of the Generator of a Semigroup Generated by the Volterra Integro-Differential Equation2
On Systems of Differential Equations with Constraints in the Form of Not Necessarily Convex Sets2
Sub-Lorentzian Extremals Defined by an Antinorm2
On the Study of Robust Exponential Stability of Continuous- and Discrete-Time Systems2
A Finite-Difference Scheme for Discontinuous Solutions of the Usadel Equations2
On One Class of Multidimensional Integral Equations of Convolution Type with Convex Nonlinearity2
On Instability in Systems with an Integral Invariant2
On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions2
Problem with an Analog of the Frankl Condition on an Internal Characteristic for an Equation of Mixed Type2
On Error Estimates for Discretization Operators for the Solution of the Poisson Equation2
On the Existence of Solutions of Degenerate Discrete-Time Systems2
Localization of Eigenfunctions of the Dirichlet Problem near a Contour at the Boundary of a Thin Domain2
On a Control Problem for a System of Implicit Differential Equations2
The Flux Problem for the Navier–Stokes–Voigt Equations2
On the Weak Solvability of a Mathematical Model Describing the Motion of Polymer Solutions with Memory2
Partial Stability of Systems of Itô Linear Delay Differential Equations2
On Positive Bounded Solutions of One Class of Nonlinear Integral Equations with the Hammerstein–Nemytskii Operator2
Solution of a Problem with Initial Conditions of the Cauchy Type for a Higher-Order Equation with a Hilfer Fractional Derivative2
On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries2
Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions2
A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient2
Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III2
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain2
Sharp Observation Error Estimate for the “Super-Twisting” Algorithm in the Presence of Measurement Error1
On a Boundary Value Problem for a System of Differential–Difference Equations of Retarded Type1
Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions1
Investigation of Three-Dimensional Fluid Filtration Problems with Sources on the Boundaries1
On the Existence of a Globally Lyapunov Unstable Differential System All of Whose Solutions Tend to Zero as Time Tends to Infinity1
Estimates of Integrally Bounded Solutions of Linear Differential Inequalities1
Well-Posed Solvability of Integro-Differential Equations in Spaces of Vector Functions Holomorphic in a Sector1
Study of the Parameter Space of a Multidimensional System with Relay Hysteresis and Perturbation1
Traveling Wave Method1
Finding the Two-Dimensional Relaxation Kernel of an Integro-Differential Wave Equation1
A Priori Estimate of Solutions of a Mixed Problem for the Vlasov–Poisson System with a Homogeneous External Magnetic Field1
Boundary Value Problem for a First-Order Partial Differential Equation with Liouville Fractional Derivative1
Distribution of the Spectrum of a Sturm–Liouville Operator Perturbed by a Delta Interaction1
Invariant Manifolds and Global Attractor of the Ginzburg–Landau Integro-Differential Equation1
Minimum Principle for the Tikhonov Functional in the Problem of Stable Continuation of a Potential Field from a Surface1
On a Nonlinear Second-Order Ordinary Differential Equation1
Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms1
Stability and Convergence of Difference Schemes Approximating Boundary Value Problems for Loaded Sobolev-Type Fractional Differential Equations1
Determining the Thermal Mode Setting Parameters Based on Output Data1
Sliding Window Algorithm for Parametric Identification of Dynamical Systems with Rectangular and Ellipsoid Parameter Uncertainty Domains1
Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity1
On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator1
Reconstruction of Unknown Disturbances When Measuring Part of Phase Coordinates1
Stability Analysis of Solutions of Continuous–Discrete Stochastic Systems with Aftereffect by a Regularization Method1
On A.P. Favorskii’s Quasiacoustic Scheme1
On Determining the Coefficients of a Quadratic Lyapunov Function with Given Properties in the Case of Multiple Roots of the Characteristic Equation1
Balance-Characteristic Method for Calculating Hemodynamics of a Single Vessel1
Third Boundary Value Problem in a Half-Strip for the Fractional Diffusion Equation1
On the Pinsky Phenomenon for B-Elliptic Operators1
Stabilization of a Switched System with Commensurate Delays under Slow Switchings1
Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems1
On One Degenerating Singular Integral Operator1
Algorithm of the Regularization Method for a Nonlinear Singularly Perturbed Integro-Differential Equation with Rapidly Oscillating Inhomogeneities1
A Variant of the Fourier Series in a Spherical Domain and Its Application to Modeling the Evaporation of a Water Droplet1
Modification of the Discrete Singularity Method for Nonuniform Grids As Applied to One-Dimensional Integral Equations with a Strong Singularity in the Kernel1
Two-Dimensional Boundary Value Problems for Filtration Flows with Randomly Located Sources in an Inhomogeneous Porous Layer1
On the Instability of Millionshchikov Linear Differential Systems with Continuous Dependence on a Real Parameter1
Initial–Boundary Value Problem for a Nonlinear Modified Boussinesq Equation1
Algorithms for Robust Inversion of Dynamical Systems1
On the Properties of a Quasihydrodynamic System of Equations for a Homogeneous Gas Mixture with a Common Regularizing Velocity1
Asymptotics of the Solution of a Singularly Perturbed System of Equations with a Single-Scale Internal Layer1
On the Fredholm Property and Solvability of a System of Integral Equations in the Transmission Problem for the Helmholtz Equation1
On the Stability by the Nonlinear Nonstationary Hybrid Approximation1
Nonideal Thermal Contact Problem1
A Nonlocal Problem with an Integral Matching Condition for a Loaded Parabolic-Hyperbolic Equation with a Fractional Caputo Derivative1
Group Analysis, Reductions, and Exact Solutions of the Monge–Ampère Equation in Magnetic Hydrodynamics1
Numerical Investigations of the Dynamics of Development of Two-Dimensional Perturbations in Magnetic Galathea Traps1
Quantitative Controllability Indices of Nonlinear Systems1
Solvability of Linear Differential Equations1
On One Gellerstedt Problem with Data on Parallel Characteristics1
On Some Properties of the Shift on an Infinite-Dimensional Torus1
Inverse Problem of Finding a Factor Depending on the Spatial Variables on the Right-Hand Side in a Parabolic-Hyperbolic Equation1
A Numerical Method for Solving the Diffraction Problem Described by Maxwell’s Equations with Mesoscopic Boundary Conditions1
Studying the Surface Wave Spectrum of an Open Inhomogeneous Rectangular Dielectric Waveguide1
Numerical Solution of the Baer–Nunziato Relaxation Model Using the Discontinuous Galerkin Method1
On an Invertible Extension of a Nonself-Adjoint Singular Differential Operator on the Half-Line1
Problem on the Optimal Estimation of the Initial State of a Linear Singularly Perturbed System1
Two-Dimensional Asymptotic Models of Thin Cylindrical Elastic Gaskets1
A Special Version of the Collocation Method for One Class of Integro-Differential Equations1
Approximation of the Solution of an Inverse Problem for a Singularly Perturbed System of Partial Differential Equations1
Isochronous and Strongly Isochronous Foci of Polynomial Liénard Systems1
Representation of the Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball1
Strong-Norm Convergence of the Errors of the Projective-Difference Method with the Crank–Nicolson Scheme in Time for a Parabolic Equation with a Periodic Condition on the Solution1
Existence and Uniqueness of Solutions of Differential Equations Weakly Controlled by Rough Paths with an Arbitrary Positive Hölder Exponent1
Multiplicative Control Problems for the Diffusion–Drift Charging Model of an Inhomogeneous Polar Dielectric1
Smooth Solutions of Hyperbolic Equations with Translation by an Arbitrary Vector in the Free Term1
Tricomi Problem for a Differential–Difference Equation of Mixed Type with Parallel Degeneration Lines1
Solution of a Semi-Boundary Value Problem for a Degenerate Partial Differential Equation1
Dirichlet Problem on the Half-Line for an Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator1
Solvability of Nonlinear Boundary Value Problems for Differential Equilibrium Equations of Nonflat Timoshenko Type Shells of Nonzero Gaussian Curvature in Isometric Coordinates1
Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point1
On the Asymptotic Stability and Ultimate Boundedness of Solutions of a Class of Nonlinear Systems with Delay1
On the Stabilization of Time Averages of the Solution to a Petrovskii-Parabolic System of Equations1
Controllability for Problems with Mixed Constraints1
On Some Extremal Problems Associated with Motion in a Velocity Field1
On One Cauchy Problem for a Hyperbolic Differential-Difference Equation1
On the Existence of Solutions of Nonlinear Boundary Value Problems for a System of Differential Equilibrium Equations for Timoshenko-Type Shells in Isometric Coordinates1
Optimal Feedback in a Linear–Quadratic Optimal Control Problem for a Fractional-Order System1
Stability of Solutions of Stochastic Differential Equations Weakly Controlled by Rough Paths with Arbitrary Positive Hölder Exponent1
Finite Stabilization and Finite Spectrum Assignment by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral Type1
Linear Differential Equations with Hukuhara Derivative Preserving the Constant Width Property1
Asymptotic Behavior of the Solution to the Cauchy Problem for a Nonlinear Equation1
Retraction Note: Proof of the Jacobian Conjecture in the Two-Dimensional Case and Global Isochronous Centers of Polynomial Hamiltonian Differential Systems1
Uniform Attractors for the Modified Kelvin–Voigt Model1
On Singular Heat Equation1
On an Elliptic Problem in a Half-Plane with a Cut along a Ray1
Boundary Value Problem for One Differential Equation with Variable Coefficients and Liouville Fractional Derivative1
To the Solution of the Inverse Problem of Scattering Theory on the Entire Line1
On the Dynamic Tension of a Thin Round Perfectly Rigid-Plastic Layer Made of Transversely Isotropic Material1
An Inverse Problem for the Wave Equation with Two Nonlinear Terms1
On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions1
On Regularization of Classical Optimality Conditions in Convex Optimization Problems for Volterra-Type Systems with Operator Constraints1
Bifurcations in Integrable Hamiltonian Systems near Corank-One Singularities1
Naimark Problem for an Ordinary Differential Equation with a Fractional Discrete Distributed Differentiation Operator1
Spectrum Assignment for a System of Neutral Type1
Analysis of a Multipoint Boundary Value Problem for a Nonlinear Matrix Differential Equation1
Estimates of the Accuracy of the Projection Method with a Fractional Smoothness Stabilizer in the Problem of Reconstructing the Wavefront Based on Its Slopes1
Fixed Points of a Mapping Generated by a System of Ordinary Differential Equations with Relay Hysteresis1
On an Integral Equation with Sum Kernel and an Inhomogeneity in the Linear Part1
On the Unique Solvability of the Cauchy Problem in the Class $$ C^{1,0}(\overline D)$$ for Parabolic Systems on the Plane0
Singularly Perturbed Optimal Tracking Problem0
Explicit–Implicit Schemes for Calculating the Dynamics of Elastoviscoplastic Media with a Short Relaxation Time0
On the Sensitivity of Solutions of Riccati Equations to Small Parameter Perturbations and Optimality in Linear Stochastic Control Systems0
On Hypersingular Operators Associated with Peridynamics0
Boundary Hypersingular Integral Delay Equation for Nonstationary Problems of Scattering by Perfectly Conducting Bodies0
On the Existence of Nonlinearizable Solutions of a Nonclassical Two-Parameter Nonlinear Boundary Value Problem0
Problem with a Bitsadze–Samarskii Condition on Parallel Characteristics for a Mixed Type Equation of the Second Kind0
On the Existence of an Infinite Spectrum of Damped Leaky TE-Polarized Waves in an Open Inhomogeneous Cylindrical Metal–Dielectric Waveguide Coated with a Graphene Layer0
On the Minimax Solution of the Hamilton-Jacobi Equations for Neutral-Type Systems: the Case of an Inhomogeneous Hamiltonian0
Closed-Form Calculation of the Fixed Point of the Operator Generated by a Multidimensional System with Relay Hysteresis0
On the Solvability of a Periodic Problem for a System of Second-Order Nonlinear Ordinary Differential Equations0
Quadrature Formula for the Double Layer Potential with Differentiable Density0
Asymptotic Properties of a Class of Systems with Linear Delay0
A Model for Describing Turbulent Flows0
On Bounded Trajectories of an Autonomous System with an Isolated Positively Homogeneous Nonlinearity0
Differential Approach–Evasion Game: Alternative Solvability and the Construction of Relaxations0
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