Differential Equations

Article	Citations
On the Fundamental Solution of a Parabolic Equation with Dini Continuous Coefficients	13
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator	13
Linear Version of the Anti-Perron Effect of Change of Positive Characteristic Exponents to Negative Ones	10
On the Solvability of a Periodic Problem for a System of Ordinary Differential Equations with the Main Positive Homogeneous Nonlinearity	10
Application of Differential-Geometric Methods of Control Theory in the Theory of Partial Differential Equations. II	10
Probabilistic Interpretation of the Cauchy Problem for Systems of Nonlinear Parabolic Equations	9
Equivalence of Entropy and Renormalized Solutions of a Nonlinear Elliptic Problem in Musielak–Orlicz Spaces	9
Multistep Methods for Second-Order Differential-Algebraic Equations	9
Local Computational Algorithms for a System of First-Order Equations with Memory Effects	9
Regularity of the Pressure Function for Weak Solutions of the Nonstationary Navier–Stokes Equations	9
Approximation of Multi-Region Inner Layer Solutions for Second-Order Weakly Nonlinear Singularly Perturbed Problems with Advance and Delay	8
On the Construction of Difference Schemes for Calculating Viscous Gas Flows in Orthogonal Curvilinear Coordinates	8
Equiconvergence Theorems for Spectral Expansions for Sturm–Liouville Operators on a Finite Interval with Potential Distributions	7
Solving a One-Dimensional Hypersingular Integral Equation Using Haar’s Wavelets	7
Dirichlet Problem for a Two-Dimensional Wave Equation in a Cylindrical Domain	7
The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis	7
Initial Value Problem for a Third-Order Nonlinear Integro-Differential Equation of Convolution Type	7
Pseudodifferential Equations and Boundary Value Problems in a Multidimensional Cone	7
On the Multiplicity of Eigenvalues of a Fourth-Order Differential Operator on a Graph	7
On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in a Plane Bounded Domain with General Boundary Conditions	6
On Constructing a Piecewise Affine Stabilizer for a Nonlinear System	6
Estimates of Solutions of Second-Order Linear Elliptic Inequalities	6
Generalization of the Oblique Derivative Problem for the Helmholtz Equation in a Disk	6
On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation	6
Sufficient Hyperbolicity Conditions for Flows	6

On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source	6
Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria	6
Poisson Formula for the Solution of the Radial Cauchy Problem for a Singular Ultrahyperbolic Equation	5
Family of Logarithmic Spirals in Hamiltonian Systems of Dimension 8 with Control in a Disk	5
System without Characteristic Directions with a Nonanalytic Center Condition	5
On the Solvability of Fredholm Boundary Integral Equations of the First Kind for the Three-Dimensional Transmission Problem on the Spectrum	5
Solvability of an Initial–Boundary Value Problem for the Modified Kelvin–Voigt Model with Memory along Fluid Motion Trajectories	5
On the Absence of Solutions of Differential Inequalities with the $$\infty $$-Laplacian	5
Finite Velocity of Propagation of Perturbations for a One-Dimensional Wave Integro-Differential Equation with a Fractional-Exponential Memory Function	5
Simultaneous Stabilization of a Family of Linear Dynamic Plants	5
Modelling the Dynamics of Social Protests: Mean-Field Games and Inverse Problems	5
Geometric Conservation Law for Finite Volume Discretization of the Stefan Problem on Boundary-Fitted Grids	5
Boundary Value Problem for Stationary Magnetohydrodynamic Equations of Heat-Conducting Fluid with Variable Coefficients	5
Observability of Time-Varying Discrete Descriptor Systems	5
Stabilization of a Differential-Difference System of Delay Type	4
On the Asymptotic Behavior of Solutions of Odd-Order Differential Equations with Oscillating Coefficients	4
Uniform Convergence of Spectral Expansions for a Problem with a Boundary Condition Depending on a Spectral Parameter	4
Explicit–Implicit Schemes for Calculating Dynamics of Elastoviscoplastic Media with Softening	4
On the Relationship between the Solutions of an Abstract Euler–Poisson–Darboux Equation and Fractional Powers of the Operator Coefficient in the Equation	4
Well-Posed Solvability of Volterra Integro-Differential Equations Arising in Viscoelasticity Theory	4
Classification of Quasilinear Systems of Ordinary Differential Equations and Its Application to Normalization of Systems in the Bogdanov–Takens Critical Case	4
On the Solvability of a System of Nonlinear Integral Equations with the Hammerstein–Stieltjes Operator on the Half-Line	4
Construction of Polynomial Eigenfunctions of a Second-Order Linear Differential Equation	4
On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant	4
On the Existence of Feedback Control for One Fractional Voigt Model	4
On the Stability of Solutions to Control Problems for a Nonlinear Reaction–Diffusion–Convection Model	4
Ultimate Dynamics of a Cancer Model with Angiogenic Switch and Combined Therapy	4
Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations	4
Searching for Parameters of a Model with the Best Local Controllability	4
High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients	4
Computation of the Leading Eigenvalue and the Corresponding Eigenelement of Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter	4
Identification of the Order of the Fractional Derivative in the Windkessel Model	4
Phragmén–Lindelöf Type Theorems	4
Finite Stabilization Controllers for Hybrid Linear Continuous-Discrete Systems	4
On the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions	4
Erratum to: On the Eighty-Fifth Anniversary of Viktor Antonovich Sadovnichii	4
The Cauchy Problem for a Nonlinear Wave Equation	4
Classification of Field Equations for Weyl and Elko Spinors	4
Invariants of Geodesic, Potential, and Dissipative Systems with Three Degrees of Freedom	4
Estimates for the Locally Periodic Homogenization of the Riemann–Hilbert Problem for a Generalized Beltrami Equation	4
On the Spectra of Oscillation Indices of a Two-Dimensional Nonlinear System and Its First Approximation System	4
A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings	3
Stability Change of Invariant Manifolds of Differential Systems with Multiscale Variables	3
On a Control Problem for a System of Implicit Differential Equations	3
Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations	3
Spectral Properties of the Generator of a Semigroup Generated by the Volterra Integro-Differential Equation	3
Numerical Solution of Integral Equations of the Third Kind with Fixed Singularities of the Kernel	3
On the Existence of Periodic Solutions of a System of Second-Order Ordinary Differential Equations with a Quasihomogeneous Nonlinearity	3
On Feedback Control Systems Governed by Fractional Differential Inclusions	3
On Systems of Differential Equations with Constraints in the Form of Not Necessarily Convex Sets	3

On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries	3
Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III	3
On the Properties of Conservative Finite Volume Scheme for the Two-Phase Stefan Problem	3
Variational Methods for Solving Problems Associated with Artificial Intelligence	3
Validation of a Computational Algorithm Based on the Discontinuous Galerkin Method for the Baer–Nunziato Relaxation Model	3
Application of a Generalized Fixed Point Principle to the Study of a System of Nonlinear Integral Equations Arising in the Population Dynamics Model	3
Classical Solution of the First Mixed Problem for the Wave Equation in Cylindrical Domain in Odd-Dimensional Space	3
On the Weak Solvability of a Mathematical Model Describing the Motion of Polymer Solutions with Memory	3
On the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems	3
Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm	3
A Difference Scheme with Well-Controlled Dissipation for Solving the Kapila Model Equations	3
On Sufficient Conditions for Optimality in the Weight Minimization Problem for a Shell of Revolution at a Given Vibration Frequency	3
Integration of the Negative-Order Modified Korteweg–de Vries Equation with a Loaded Term in the Class of Periodic Functions	3
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain	3
On the Study of Robust Exponential Stability of Continuous- and Discrete-Time Systems	3
Approximate Solution of the Inverse Boundary Value Problem for a Singularly Perturbed System of Partial Differential Equations	3
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 Smallness	3
On Error Estimates for Discretization Operators for the Solution of the Poisson Equation	3
Explicit Formulas for the Coefficients in the Lappo-Danilevsky Solution of Linear Ordinary Differential Equations	3
Maximum Principle in the Linear Optimal-Time Control Problem	3
Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures	3
Model First Boundary Value Problem for a Parabolic System in Zygmund Spaces	3
Methods for Parametric Identification of Fractional Differential Equations	3
Asymptotics of the Solution of Discrete-Time Linear-Quadratic Optimal Control Problems with Small Step and Weak Control in the Critical Case	3
On Multidimensional Exact Solutions of the Generalized Monge–Ampère Evolution Equations	3
On Instability in Systems with an Integral Invariant	3
On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold	3
Theoretical Aspects of Constructing a Neurocontroller for Switched Systems	3
On One Class of Multidimensional Integral Equations of Convolution Type with Convex Nonlinearity	3
Conservative Equations in Field Theory: Conservation and Symmetry Laws	3
To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential Systems	2
On Singular Heat Equation	2
A Finite-Difference Scheme for Discontinuous Solutions of the Usadel Equations	2
Stabilization of a Switched System with Commensurate Delays under Slow Switchings	2
Front Motion in a Reaction–Diffusion–Advection Problem with a KPZ-Nonlinearity	2
Traveling Wave Method	2
Sub-Lorentzian Extremals Defined by an Antinorm	2
On the Existence of Solutions of Degenerate Discrete-Time Systems	2
On Asymptotics of the Spectrum of an Integral Operator with a Logarithmic Kernel of a Special Form	2
Quantitative Controllability Indices of Nonlinear Systems	2
Solvability of a Boundary Value Problem for the Stationary Heat and Mass Transfer Equations with Variable Coefficients	2
Finite-Difference Integro-Interpolation Method for Discontinuous Solutions of the Usadel Equations	2
Existence of Solutions of a Boundary Value Problem for a Diffusion Equation with Piecewise Constant Arguments	2
On Some Properties of the Shift on an Infinite-Dimensional Torus	2
Finite Stabilization Based on Incomplete Measurements for not Completely Controlled Systems of Neutral Type	2
Optimal Feedback in a Linear–Quadratic Optimal Control Problem for a Fractional-Order System	2
On Singularities of $$A $$-Orbital Feedback Linearization of Single-Input Affine Controllable Systems	2
On the Numerical Solution of Nonconservative Hyperbolic Systems of Equations	2
Sliding Window Algorithm for Parametric Identification of Dynamical Systems with Rectangular and Ellipsoid Parameter Uncertainty Domains	2
On the Relationship Between the Pontryagin Maximum Principle and the Hamilton–Jacobi–Bellman Equation in Optimal Control Problems for Fractional-Order Systems	2
Stable Solution of Tracking and Dynamic Reconstruction Problems under Measuring State Coordinates at Discrete Times	2
Globally Stable Difference Schemes for the Fisher Equation	2
Nonideal Thermal Contact Problem	2
Initial–Boundary Value Problem for Flows of a Fluid with Memory in a 3D Network-Like Domain	2
Asymptotic Behavior of the Solution to the Cauchy Problem for a Nonlinear Equation	2
An Inverse Problem for Electrodynamic Equations with a Nonlinear Dependence of the Current Density on the Electric Field	2
Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions	2
Singular and Fixed Points of a Mapping Generated by a Multidimensional System of Ordinary Differential Equations with Relay Hysteresis	2
Blow-Up of the Solution and Global Solvability of the Cauchy Problem for the Equation of Vibrations of a Hollow Rod	2
On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions	2
On the Asymptotics of Solutions of Ordinary Differential Equations of Odd Order	2
Solution of a Problem with Initial Conditions of the Cauchy Type for a Higher-Order Equation with a Hilfer Fractional Derivative	2
Dirichlet Problem on the Half-Line for an Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator	2
Solution of Some Problems for the String Vibration Equation in a Half-Strip by Quadratures	2
Localization of Eigenfunctions of the Dirichlet Problem near a Contour at the Boundary of a Thin Domain	2
Group Analysis, Reductions, and Exact Solutions of the Monge–Ampère Equation in Magnetic Hydrodynamics	2
Operator Methods for Investigating Stability and Bifurcation Problems in a Reaction–Diffusion System and Applications	2
Problem on the Optimal Estimation of the Initial State of a Linear Singularly Perturbed System	2
On the Monotonicity of Solutions of Nonlinear Systems with Respect to the Initial Conditions	2
Construction of Diagonal Lyapunov–Krasovskii Functionals for a Class of Positive Differential-Algebraic Systems	2
Initial–Boundary Value Problem for a Nonlinear Modified Boussinesq Equation	2
Green’s Function of a Sturm Type Boundary Value Problem for a Fractional Delay Differential Equation	2
To the Solution of the Inverse Problem of Scattering Theory on the Entire Line	2
Reflecting Function and a Generalization of the Notion of First Integral	2
Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations	2
Conservative Compact and Monotone Fourth-Order Difference Schemes for One- and Two-Dimensional Quasilinear Equations	2
Tricomi Problem for a Differential–Difference Equation of Mixed Type with Parallel Degeneration Lines	2
Partial Stability of Systems of Itô Linear Delay Differential Equations	2
On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions	2
Finite Stabilization of Incompletely Controllable Hybrid Linear Continuous-Discrete Systems	2

Modification of the Discrete Singularity Method for Nonuniform Grids As Applied to One-Dimensional Integral Equations with a Strong Singularity in the Kernel	2
On the Fundamental Solution Matrix of the Plane Anisotropic Elasticity Theory	2
The Cauchy Problem for a Nonlinear Hirota-Type Equation with a Self-Consistent Series Source	2
Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms	2
Distribution of the Spectrum of a Sturm–Liouville Operator Perturbed by a Delta Interaction	2
Sharp Observation Error Estimate for the “Super-Twisting” Algorithm in the Presence of Measurement Error	2
On a Class of Periodic $$E $$-Functions	2
Finite Stabilization and Finite Spectrum Assignment by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral Type	2
Representation of the Green’s Function of the Navier Problem for the Biharmonic Equation in a Ball	2
On the Properties of Oscillation Indices of Solutions to Differential Systems	2
Mathematical Modeling of the Motion of Metal Conductors in an Electromagnetic Field with Regard to the Presence of Different Phases of the Matter Being Accelerated	2
On the Wandering Velocity of Solutions to Linear Autonomous Differential Systems	2
Balance-Characteristic Method for Calculating Hemodynamics of a Single Vessel	2