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 2022-01-01 to 2026-01-01.)
ArticleCitations
Multistep Methods for Second-Order Differential-Algebraic Equations14
Probabilistic Interpretation of the Cauchy Problem for Systems of Nonlinear Parabolic Equations13
Conditions for the Existence of Cycles in a System of Differential Equations12
Regularity of the Pressure Function for Weak Solutions of the Nonstationary Navier–Stokes Equations12
Application of Differential-Geometric Methods of Control Theory in the Theory of Partial Differential Equations. II10
On the Solvability of a Periodic Problem for a System of Ordinary Differential Equations with the Main Positive Homogeneous Nonlinearity9
Equivalence of Entropy and Renormalized Solutions of a Nonlinear Elliptic Problem in Musielak–Orlicz Spaces8
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator8
Pseudodifferential Equations and Boundary Value Problems in a Multidimensional Cone7
Dirichlet Problem for a Two-Dimensional Wave Equation in a Cylindrical Domain7
Estimates of Solutions of Second-Order Linear Elliptic Inequalities7
Initial Value Problem for a Third-Order Nonlinear Integro-Differential Equation of Convolution Type7
Linear Version of the Anti-Perron Effect of Change of Positive Characteristic Exponents to Negative Ones7
On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source7
Poisson Formula for the Solution of the Radial Cauchy Problem for a Singular Ultrahyperbolic Equation7
Approximation of Multi-Region Inner Layer Solutions for Second-Order Weakly Nonlinear Singularly Perturbed Problems with Advance and Delay7
On the Multiplicity of Eigenvalues of a Fourth-Order Differential Operator on a Graph7
On the Construction of Difference Schemes for Calculating Viscous Gas Flows in Orthogonal Curvilinear Coordinates7
On the Properties of Solutions of the Equations in the Generalized Hierarchy of the Equation $$P_{34}$$7
Generalization of the Oblique Derivative Problem for the Helmholtz Equation in a Disk7
Solving a One-Dimensional Hypersingular Integral Equation Using Haar’s Wavelets7
On the Fundamental Solution of a Parabolic Equation with Dini Continuous Coefficients7
Sufficient Hyperbolicity Conditions for Flows6
Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria6
Sufficient Conditions for the Existence of Stabilizing Controllers for Switched Interval Systems6
On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source6
The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis6
Equiconvergence Theorems for Spectral Expansions for Sturm–Liouville Operators on a Finite Interval with Potential Distributions6
Geometric Conservation Law for Finite Volume Discretization of the Stefan Problem on Boundary-Fitted Grids6
On Constructing a Piecewise Affine Stabilizer for a Nonlinear System6
On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation6
Boundary Value Problem for Stationary Magnetohydrodynamic Equations of Heat-Conducting Fluid with Variable Coefficients6
Solvability of an Initial–Boundary Value Problem for the Modified Kelvin–Voigt Model with Memory along Fluid Motion Trajectories5
On the Absence of Solutions of Differential Inequalities with the $$\infty $$-Laplacian5
Family of Logarithmic Spirals in Hamiltonian Systems of Dimension 8 with Control in a Disk5
Inverse Problem of Determining an Unknown Coefficient in the Beam Vibration Equation5
System without Characteristic Directions with a Nonanalytic Center Condition5
On the Stability of Solutions to Control Problems for a Nonlinear Reaction–Diffusion–Convection Model5
Finite Stabilization Controllers for Hybrid Linear Continuous-Discrete Systems5
Simultaneous Stabilization of a Family of Linear Dynamic Plants5
On the Solvability of Fredholm Boundary Integral Equations of the First Kind for the Three-Dimensional Transmission Problem on the Spectrum5
Lyapunov Function Method for Systems of Difference Equations: Stability with Respect to Part of the Variables4
Explicit–Implicit Schemes for Calculating Dynamics of Elastoviscoplastic Media with Softening4
Searching for Parameters of a Model with the Best Local Controllability4
Modelling the Dynamics of Social Protests: Mean-Field Games and Inverse Problems4
Observability of Time-Varying Discrete Descriptor Systems4
Erratum to: On the Eighty-Fifth Anniversary of Viktor Antonovich Sadovnichii4
The Cauchy Problem for a Nonlinear Wave Equation4
On $$A$$-Orbital Linearization of Three-Dimensional Single-Input Affine Systems4
Generalized Solutions of Stationary Boundary Value Problems for Biwave Equations4
On the Asymptotic Behavior of Solutions of Odd-Order Differential Equations with Oscillating Coefficients4
On the Existence of Feedback Control for One Fractional Voigt Model4
Chaotic Dynamics of Homogeneous Yang–Mills Fields with Three Degrees of Freedom4
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 Point4
Example of a Differential System with Complete Perron and Upper-Limit Instability but Massive Partial Stability4
On the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions4
Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations4
Classification of Field Equations for Weyl and Elko Spinors4
Finite Velocity of Propagation of Perturbations for a One-Dimensional Wave Integro-Differential Equation with a Fractional-Exponential Memory Function4
Uniform Convergence of Spectral Expansions for a Problem with a Boundary Condition Depending on a Spectral Parameter4
On the Relationship between the Solutions of an Abstract Euler–Poisson–Darboux Equation and Fractional Powers of the Operator Coefficient in the Equation4
Construction of Polynomial Eigenfunctions of a Second-Order Linear Differential Equation3
On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold3
On the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems3
Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III3
Numerical Solution of Integral Equations of the Third Kind with Fixed Singularities of the Kernel3
On the Study of Robust Exponential Stability of Continuous- and Discrete-Time Systems3
On the Spectra of Oscillation Indices of a Two-Dimensional Nonlinear System and Its First Approximation System3
Identification of the Order of the Fractional Derivative in the Windkessel Model3
A Method for Studying Integral Equations by Using a Covering Set of the Nemytskii Operator in Spaces of Measurable Functions3
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
Phragmén–Lindelöf Type Theorems3
A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient3
On One Class of Multidimensional Integral Equations of Convolution Type with Convex Nonlinearity3
On Systems of Differential Equations with Constraints in the Form of Not Necessarily Convex Sets3
On Feedback Control Systems Governed by Fractional Differential Inclusions3
On Instability in Systems with an Integral Invariant3
Well-Posed Solvability of Volterra Integro-Differential Equations Arising in Viscoelasticity Theory3
Classification of Quasilinear Systems of Ordinary Differential Equations and Its Application to Normalization of Systems in the Bogdanov–Takens Critical Case3
Stabilization of a Differential-Difference System of Delay Type3
A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings3
On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant3
On Sufficient Conditions for Optimality in the Weight Minimization Problem for a Shell of Revolution at a Given Vibration Frequency3
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 Smallness3
Variational Methods for Solving Problems Associated with Artificial Intelligence3
Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm3
Model First Boundary Value Problem for a Parabolic System in Zygmund Spaces3
High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients3
Invariants of Geodesic, Potential, and Dissipative Systems with Three Degrees of Freedom3
Application of a Generalized Fixed Point Principle to the Study of a System of Nonlinear Integral Equations Arising in the Population Dynamics Model3
Computation of the Leading Eigenvalue and the Corresponding Eigenelement of Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter3
Solution of Some Problems for the String Vibration Equation in a Half-Strip by Quadratures2
Stability Change of Invariant Manifolds of Differential Systems with Multiscale Variables2
Modification of the Discrete Singularity Method for Nonuniform Grids As Applied to One-Dimensional Integral Equations with a Strong Singularity in the Kernel2
Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures2
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
Approximate Solution of the Inverse Boundary Value Problem for a Singularly Perturbed System of Partial Differential Equations2
Construction of Diagonal Lyapunov–Krasovskii Functionals for a Class of Positive Differential-Algebraic Systems2
Maximum Principle in the Linear Optimal-Time Control Problem2
On Singularities of $$A $$-Orbital Feedback Linearization of Single-Input Affine Controllable Systems2
Solution of a Problem with Initial Conditions of the Cauchy Type for a Higher-Order Equation with a Hilfer Fractional Derivative2
Integration of the Negative-Order Modified Korteweg–de Vries Equation with a Loaded Term in the Class of Periodic Functions2
On the Properties of Oscillation Indices of Solutions to Differential Systems2
Global Algebraic Poincaré–Bendixson Annulus for the van der Pol System2
Explicit Formulas for the Coefficients in the Lappo-Danilevsky Solution of Linear Ordinary Differential Equations2
On the Existence of Solutions of Degenerate Discrete-Time Systems2
A Difference Scheme with Well-Controlled Dissipation for Solving the Kapila Model Equations2
Distribution of the Spectrum of a Sturm–Liouville Operator Perturbed by a Delta Interaction2
Existence of Solutions of a Boundary Value Problem for a Diffusion Equation with Piecewise Constant Arguments2
Asymptotic Behavior of the Solution to the Cauchy Problem for a Nonlinear Equation2
A Finite-Difference Scheme for Discontinuous Solutions of the Usadel Equations2
Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms2
Finite-Difference Integro-Interpolation Method for Discontinuous Solutions of the Usadel Equations2
An Inverse Problem for Electrodynamic Equations with a Nonlinear Dependence of the Current Density on the Electric Field2
Conservative Compact and Monotone Fourth-Order Difference Schemes for One- and Two-Dimensional Quasilinear Equations2
Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations2
Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions2
Spectral Properties of the Generator of a Semigroup Generated by the Volterra Integro-Differential Equation2
Sharp Observation Error Estimate for the “Super-Twisting” Algorithm in the Presence of Measurement Error2
Methods for Parametric Identification of Fractional Differential Equations2
On the Weak Solvability of a Mathematical Model Describing the Motion of Polymer Solutions with Memory2
Globally Stable Difference Schemes for the Fisher Equation2
Classical Solution of the First Mixed Problem for the Wave Equation in Cylindrical Domain in Odd-Dimensional Space2
On the Numerical Solution of Nonconservative Hyperbolic Systems of Equations2
Partial Stability of Systems of Itô Linear Delay Differential Equations2
On the Existence of Periodic Solutions of a System of Second-Order Ordinary Differential Equations with a Quasihomogeneous Nonlinearity2
On the Relationship Between the Pontryagin Maximum Principle and the Hamilton–Jacobi–Bellman Equation in Optimal Control Problems for Fractional-Order Systems2
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain2
On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions2
Traveling Wave Method2
Front Motion in a Reaction–Diffusion–Advection Problem with a KPZ-Nonlinearity2
Quantitative Controllability Indices of Nonlinear Systems2
On Multidimensional Exact Solutions of the Generalized Monge–Ampère Evolution Equations2
Dirichlet Problem on the Half-Line for an Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator2
On the Asymptotics of Solutions of Ordinary Differential Equations of Odd Order2
On the Fundamental Solution Matrix of the Plane Anisotropic Elasticity Theory2
Nonideal Thermal Contact Problem2
Reflecting Function and a Generalization of the Notion of First Integral2
Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations2
Singular and Fixed Points of a Mapping Generated by a Multidimensional System of Ordinary Differential Equations with Relay Hysteresis2
Tricomi Problem for a Differential–Difference Equation of Mixed Type with Parallel Degeneration Lines2
On Error Estimates for Discretization Operators for the Solution of the Poisson Equation2
To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential Systems2
Theoretical Aspects of Constructing a Neurocontroller for Switched Systems2
On the Properties of Conservative Finite Volume Scheme for the Two-Phase Stefan Problem2
Operator Methods for Investigating Stability and Bifurcation Problems in a Reaction–Diffusion System and Applications2
Conservative Equations in Field Theory: Conservation and Symmetry Laws2
On the Monotonicity of Solutions of Nonlinear Systems with Respect to the Initial Conditions2
On Asymptotics of the Spectrum of an Integral Operator with a Logarithmic Kernel of a Special Form2
Initial–Boundary Value Problem for Flows of a Fluid with Memory in a 3D Network-Like Domain2
On a Class of Periodic $$E $$-Functions2
Validation of a Computational Algorithm Based on the Discontinuous Galerkin Method for the Baer–Nunziato Relaxation Model2
On the Properties of a Quasihydrodynamic System of Equations for a Homogeneous Gas Mixture with a Common Regularizing Velocity2
Representation of the Green’s Function of the Navier Problem for the Biharmonic Equation in a Ball2
Finite Stabilization of Incompletely Controllable Hybrid Linear Continuous-Discrete Systems2
Controllability for Problems with Mixed Constraints2
On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries2
Blow-Up of the Solution and Global Solvability of the Cauchy Problem for the Equation of Vibrations of a Hollow Rod2
On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions2
Sub-Lorentzian Extremals Defined by an Antinorm2
Estimates of the Accuracy of the Projection Method with a Fractional Smoothness Stabilizer in the Problem of Reconstructing the Wavefront Based on Its Slopes1
Two-Dimensional Asymptotic Models of Thin Cylindrical Elastic Gaskets1
On Some Extremal Problems Associated with Motion in a Velocity Field1
Reconstruction of Unknown Disturbances When Measuring Part of Phase Coordinates1
Numerical Investigations of the Dynamics of Development of Two-Dimensional Perturbations in Magnetic Galathea Traps1
On the Lower Bound of the Hypersingular Operator in Peridynamics Problems1
Stable Solution of Tracking and Dynamic Reconstruction Problems under Measuring State Coordinates at Discrete Times1
On a Class of Control Problems with Mixed Constraints1
Distribution of Spectrum of the Weber Operator Perturbed by the Dirac Delta Function1
Classical Solution to a Mixed Problem with the Dirichlet and Wentzel Conditions for the Biwave Equation with Nonlinear Lower Terms1
On an Elliptic Problem in a Half-Plane with a Cut along a Ray1
Approximation of the Solution of an Inverse Problem for a Singularly Perturbed System of Partial Differential Equations1
On the Dynamic Tension of a Thin Round Perfectly Rigid-Plastic Layer Made of Transversely Isotropic Material1
Finding the Two-Dimensional Relaxation Kernel of an Integro-Differential Wave Equation1
Optimal Feedback in a Linear–Quadratic Optimal Control Problem for a Fractional-Order System1
Internal Transition Layer Structure in the Reaction–Diffusion Problem for the Case of a Balanced Reaction with a Weak Discontinuity1
Stabilization of a Switched Interval System with Commensurate Delays under Slow Switchings1
On the Asymptotic Stability and Ultimate Boundedness of Solutions of a Class of Nonlinear Systems with Delay1
A Nonlocal Problem with an Integral Matching Condition for a Loaded Parabolic-Hyperbolic Equation with a Fractional Caputo Derivative1
On a Property of a Biharmonic Function in an Unbounded Domain in $$\mathbb {R}^3$$1
Minimum Principle for the Tikhonov Functional in the Problem of Stable Continuation of a Potential Field from a Surface1
On a Boundary Value Problem for a System of Differential–Difference Equations of Retarded Type1
On Determining the Coefficients of a Quadratic Lyapunov Function with Given Properties in the Case of Multiple Roots of the Characteristic Equation1
Naimark Problem for an Ordinary Differential Equation with a Fractional Discrete Distributed Differentiation Operator1
On the Pinsky Phenomenon for B-Elliptic Operators1
Analysis of a Multipoint Boundary Value Problem for a Nonlinear Matrix Differential Equation1
On A.P. Favorskii’s Quasiacoustic Scheme1
On Regularization of Classical Optimality Conditions in Convex Optimization Problems for Volterra-Type Systems with Operator Constraints1
On a Nonlinear Second-Order Ordinary Differential Equation1
Finite Stabilization and Finite Spectrum Assignment by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral Type1
Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point1
On Singular Heat Equation1
On Asymptotic Behavior of Solutions of Linear Inhomogeneous Stochastic Differential Equations with Correlated Inputs1
Bifurcations in Integrable Hamiltonian Systems near Corank-One Singularities1
To the Solution of the Inverse Problem of Scattering Theory on the Entire Line1
On the Existence of Solutions of Nonlinear Boundary Value Problems for a System of Differential Equilibrium Equations for Timoshenko-Type Shells in Isometric Coordinates1
On an Analog of the Ambarzumian Theorem1
On Some Properties of the Shift on an Infinite-Dimensional Torus1
On the Properties of a Dirac Operator with Irregular Boundary Conditions1
On One Cauchy Problem for a Hyperbolic Differential-Difference Equation1
Classical Solutions of Hyperbolic Equations with Translation Operators in Lower-Order Derivatives1
Sliding Window Algorithm for Parametric Identification of Dynamical Systems with Rectangular and Ellipsoid Parameter Uncertainty Domains1
A Numerical Method for Solving the Diffraction Problem Described by Maxwell’s Equations with Mesoscopic Boundary Conditions1
Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity1
Invariant Manifolds and Global Attractor of the Ginzburg–Landau Integro-Differential Equation1
Fixed Points of a Mapping Generated by a System of Ordinary Differential Equations with Relay Hysteresis1
A Special Version of the Collocation Method for One Class of Integro-Differential Equations1
Averaging in a Neumann Sieve-Type Domain with “Light” Concentrated Masses. Subcritical Case1
Well-Posed Solvability of Integro-Differential Equations in Spaces of Vector Functions Holomorphic in a Sector1
Two-Dimensional Boundary Value Problems for Filtration Flows with Randomly Located Sources in an Inhomogeneous Porous Layer1
Balance-Characteristic Method for Calculating Hemodynamics of a Single Vessel1
On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator1
Representation of the Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball1
Solvability of Nonlinear Boundary Value Problems for Differential Equilibrium Equations of Nonflat Timoshenko Type Shells of Nonzero Gaussian Curvature in Isometric Coordinates1
On One Gellerstedt Problem with Data on Parallel Characteristics1
Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems1
On the Stabilization of Time Averages of the Solution to a Petrovskii-Parabolic System of Equations1
Algorithm of the Regularization Method for a Nonlinear Singularly Perturbed Integro-Differential Equation with Rapidly Oscillating Inhomogeneities1
Linear Differential Equations with Hukuhara Derivative Preserving the Constant Width Property1
Spectrum Assignment for a System of Neutral Type1
Asymptotics of the Solution of a Singularly Perturbed System of Equations with a Single-Scale Internal Layer1
Problem on the Optimal Estimation of the Initial State of a Linear Singularly Perturbed System1
Boundary Value Problem for One Differential Equation with Variable Coefficients and Liouville Fractional Derivative1
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
On the Existence of a Globally Lyapunov Unstable Differential System All of Whose Solutions Tend to Zero as Time Tends to Infinity1
Correctness Analysis of a Boundary Value Problem for Stationary Magnetohydrodynamics Equations with Variable Coefficients1
Mathematical Modeling of the Motion of Metal Conductors in an Electromagnetic Field with Regard to the Presence of Different Phases of the Matter Being Accelerated1
Determining the Thermal Mode Setting Parameters Based on Output Data1
Asymptotics of the Spectrum for a Fourth-Order Differential Operator with a Spectral Parameter in Two Boundary Conditions1
Instability and Stabilization of Solutions of a Stochastic Model of Viscoelastic Fluid Dynamics1
Group Analysis, Reductions, and Exact Solutions of the Monge–Ampère Equation in Magnetic Hydrodynamics1
An Inverse Problem for the Wave Equation with Two Nonlinear Terms1
On the Fredholm Property and Solvability of a System of Integral Equations in the Transmission Problem for the Helmholtz Equation1
Estimates of Integrally Bounded Solutions of Linear Differential Inequalities1
Stabilization of a Switched System with Commensurate Delays under Slow Switchings1
A Variant of the Fourier Series in a Spherical Domain and Its Application to Modeling the Evaporation of a Water Droplet1
Sufficient Condition for the Consistency of a Piecewise Linear Approximation to a Nolinear Affine System1
Retraction Note: Proof of the Jacobian Conjecture in the Two-Dimensional Case and Global Isochronous Centers of Polynomial Hamiltonian Differential Systems1
Solution of a Semi-Boundary Value Problem for a Degenerate Partial Differential Equation1
Stability Analysis of Solutions of Continuous–Discrete Stochastic Systems with Aftereffect by a Regularization Method1
Isochronous and Strongly Isochronous Foci of Polynomial Liénard Systems1
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
Multiplicative Control Problems for the Diffusion–Drift Charging Model of an Inhomogeneous Polar Dielectric1
Boundary Value Problem for a First-Order Partial Differential Equation with Liouville Fractional Derivative1
A Priori Estimate of Solutions of a Mixed Problem for the Vlasov–Poisson System with a Homogeneous External Magnetic Field1
Algorithms for Robust Inversion of Dynamical Systems1
Solvability of Linear Differential Equations1
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