Differential Equations

Article	Citations
Multistep Methods for Second-Order Differential-Algebraic Equations	14
Probabilistic Interpretation of the Cauchy Problem for Systems of Nonlinear Parabolic Equations	13
Spectral Test for the Exponential Stability	12
Regularity of the Pressure Function for Weak Solutions of the Nonstationary Navier–Stokes Equations	11
Conditions for the Existence of Cycles in a System of Differential Equations	11
Application of Differential-Geometric Methods of Control Theory in the Theory of Partial Differential Equations. II	10
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator	9
On the Solvability of a Periodic Problem for a System of Ordinary Differential Equations with the Main Positive Homogeneous Nonlinearity	9
Equivalence of Entropy and Renormalized Solutions of a Nonlinear Elliptic Problem in Musielak–Orlicz Spaces	8
Solving a One-Dimensional Hypersingular Integral Equation Using Haar’s Wavelets	7
On the Multiplicity of Eigenvalues of a Fourth-Order Differential Operator on a Graph	7
Pseudodifferential Equations and Boundary Value Problems in a Multidimensional Cone	7
Sufficient Conditions for the Existence of Stabilizing Controllers for Switched Interval Systems	7
Linear Version of the Anti-Perron Effect of Change of Positive Characteristic Exponents to Negative Ones	7
On the Fundamental Solution of a Parabolic Equation with Dini Continuous Coefficients	7
Estimates of Solutions of Second-Order Linear Elliptic Inequalities	7
On the Construction of Difference Schemes for Calculating Viscous Gas Flows in Orthogonal Curvilinear Coordinates	7
Initial Value Problem for a Third-Order Nonlinear Integro-Differential Equation of Convolution Type	7
Approximation of Multi-Region Inner Layer Solutions for Second-Order Weakly Nonlinear Singularly Perturbed Problems with Advance and Delay	7
On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source	7
The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis	6
On Constructing a Piecewise Affine Stabilizer for a Nonlinear System	6
On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source	6
On the Properties of Solutions of the Equations in the Generalized Hierarchy of the Equation $$P_{34}$$	6
Dirichlet Problem for a Two-Dimensional Wave Equation in a Cylindrical Domain	6

On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation	6
Equiconvergence Theorems for Spectral Expansions for Sturm–Liouville Operators on a Finite Interval with Potential Distributions	6
Studying Volterra Integro-Differential Equations by Methods of the Theory of Operator Semigroups	6
Poisson Formula for the Solution of the Radial Cauchy Problem for a Singular Ultrahyperbolic Equation	6
Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria	6
Geometric Conservation Law for Finite Volume Discretization of the Stefan Problem on Boundary-Fitted Grids	6
Finite Velocity of Propagation of Perturbations for a One-Dimensional Wave Integro-Differential Equation with a Fractional-Exponential Memory Function	5
Inverse Problem of Determining an Unknown Coefficient in the Beam Vibration Equation	5
System without Characteristic Directions with a Nonanalytic Center Condition	5
Family of Logarithmic Spirals in Hamiltonian Systems of Dimension 8 with Control in a Disk	5
Boundary Value Problem for Stationary Magnetohydrodynamic Equations of Heat-Conducting Fluid with Variable Coefficients	5
Finite Stabilization Controllers for Hybrid Linear Continuous-Discrete Systems	5
On the Solvability of Fredholm Boundary Integral Equations of the First Kind for the Three-Dimensional Transmission Problem on the Spectrum	5
On the Stability of Solutions to Control Problems for a Nonlinear Reaction–Diffusion–Convection Model	5
On the Absence of Solutions of Differential Inequalities with the $$\infty $$-Laplacian	5
Solvability of an Initial–Boundary Value Problem for the Modified Kelvin–Voigt Model with Memory along Fluid Motion Trajectories	5
Simultaneous Stabilization of a Family of Linear Dynamic Plants	5
Modelling the Dynamics of Social Protests: Mean-Field Games and Inverse Problems	5
On Optimal Discretization of Solutions of the Heat Equation and the Limit Error of the Optimum Computing Unit	4
Classification of Field Equations for Weyl and Elko Spinors	4
Uniform Convergence of Spectral Expansions for a Problem with a Boundary Condition Depending on a Spectral Parameter	4
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 Point	4
Example of a Differential System with Complete Perron and Upper-Limit Instability but Massive Partial Stability	4
On the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions	4
On the Asymptotic Behavior of Solutions of Odd-Order Differential Equations with Oscillating Coefficients	4
On the First Initial–Boundary Value Problem for a Model Parabolic System in a Domain with Curvilinear Lateral Boundaries	4
Searching for Parameters of a Model with the Best Local Controllability	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
Lyapunov Function Method for Systems of Difference Equations: Stability with Respect to Part of the Variables	4
Explicit–Implicit Schemes for Calculating Dynamics of Elastoviscoplastic Media with Softening	4
On the Existence of Feedback Control for One Fractional Voigt Model	4
Chaotic Dynamics of Homogeneous Yang–Mills Fields with Three Degrees of Freedom	4
Erratum to: On the Eighty-Fifth Anniversary of Viktor Antonovich Sadovnichii	4
The Cauchy Problem for a Nonlinear Wave Equation	4
On $$A$$-Orbital Linearization of Three-Dimensional Single-Input Affine Systems	4
Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations	4
Generalized Solutions of Stationary Boundary Value Problems for Biwave Equations	3
On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant	3
On the Spectra of Oscillation Indices of a Two-Dimensional Nonlinear System and Its First Approximation System	3
Phragmén–Lindelöf Type Theorems	3
Spectral Properties of the Generator of a Semigroup Generated by the Volterra Integro-Differential Equation	3
Invariants of Geodesic, Potential, and Dissipative Systems with Three Degrees of Freedom	3
On One Class of Multidimensional Integral Equations of Convolution Type with Convex Nonlinearity	3
High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients	3
Variational Methods for Solving Problems Associated with Artificial Intelligence	3
On Feedback Control Systems Governed by Fractional Differential Inclusions	3
On Instability in Systems with an Integral Invariant	3
Stabilization of a Differential-Difference System of Delay Type	3
Estimates for the Locally Periodic Homogenization of the Riemann–Hilbert Problem for a Generalized Beltrami Equation	3
On the Solvability of a System of Nonlinear Integral Equations with the Hammerstein–Stieltjes Operator on the Half-Line	3

On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold	3
Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures	3
Classification of Quasilinear Systems of Ordinary Differential Equations and Its Application to Normalization of Systems in the Bogdanov–Takens Critical Case	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
Identification of the Order of the Fractional Derivative in the Windkessel Model	3
Model First Boundary Value Problem for a Parabolic System in Zygmund Spaces	3
Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm	3
On Systems of Differential Equations with Constraints in the Form of Not Necessarily Convex Sets	3
Construction of Polynomial Eigenfunctions of a Second-Order Linear Differential Equation	3
Computation of the Leading Eigenvalue and the Corresponding Eigenelement of Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter	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
A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings	3
A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient	3
On the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems	3
A Method for Studying Integral Equations by Using a Covering Set of the Nemytskii Operator in Spaces of Measurable Functions	3
Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III	3
Well-Posed Solvability of Volterra Integro-Differential Equations Arising in Viscoelasticity Theory	3
Numerical Solution of Integral Equations of the Third Kind with Fixed Singularities of the Kernel	3
On the Study of Robust Exponential Stability of Continuous- and Discrete-Time Systems	3
Integration of the Negative-Order Modified Korteweg–de Vries Equation with a Loaded Term in the Class of Periodic Functions	2
Reconstruction of Unknown Disturbances When Measuring Part of Phase Coordinates	2
On Error Estimates for Discretization Operators for the Solution of the Poisson Equation	2
Distribution of the Spectrum of a Sturm–Liouville Operator Perturbed by a Delta Interaction	2
Methods for Parametric Identification of Fractional Differential Equations	2
Construction of Diagonal Lyapunov–Krasovskii Functionals for a Class of Positive Differential-Algebraic Systems	2
On the Existence of Periodic Solutions of a System of Second-Order Ordinary Differential Equations with a Quasihomogeneous Nonlinearity	2
On the Monotonicity of Solutions of Nonlinear Systems with Respect to the Initial Conditions	2
Maximum Principle in the Linear Optimal-Time Control Problem	2
On the Relationship Between the Pontryagin Maximum Principle and the Hamilton–Jacobi–Bellman Equation in Optimal Control Problems for Fractional-Order Systems	2
Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations	2
On the Existence of Solutions of Degenerate Discrete-Time Systems	2
On the Properties of Conservative Finite Volume Scheme for the Two-Phase Stefan Problem	2
Sharp Observation Error Estimate for the “Super-Twisting” Algorithm in the Presence of Measurement Error	2
Global Algebraic Poincaré–Bendixson Annulus for the van der Pol System	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
Solution of a Problem with Initial Conditions of the Cauchy Type for a Higher-Order Equation with a Hilfer Fractional Derivative	2
Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms	2
On Multidimensional Exact Solutions of the Generalized Monge–Ampère Evolution Equations	2
On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions	2
A Difference Scheme with Well-Controlled Dissipation for Solving the Kapila Model Equations	2
On Singular Heat Equation	2
On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions	2
Localization of Eigenfunctions of the Dirichlet Problem near a Contour at the Boundary of a Thin Domain	2
Theoretical Aspects of Constructing a Neurocontroller for Switched Systems	2
Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations	2
Approximate Solution of the Inverse Boundary Value Problem for a Singularly Perturbed System of Partial Differential Equations	2
On the Properties of a Quasihydrodynamic System of Equations for a Homogeneous Gas Mixture with a Common Regularizing Velocity	2
Stability Change of Invariant Manifolds of Differential Systems with Multiscale Variables	2
Operator Methods for Investigating Stability and Bifurcation Problems in a Reaction–Diffusion System and Applications	2
Classical Solution of the First Mixed Problem for the Wave Equation in Cylindrical Domain in Odd-Dimensional Space	2
Representation of the Green’s Function of the Navier Problem for the Biharmonic Equation in a Ball	2
On the Weak Solvability of a Mathematical Model Describing the Motion of Polymer Solutions with Memory	2
Traveling Wave Method	2
Partial Stability of Systems of Itô Linear Delay Differential Equations	2
To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential 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
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain	2
Finite Stabilization of Incompletely Controllable Hybrid Linear Continuous-Discrete Systems	2
Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions	2
Front Motion in a Reaction–Diffusion–Advection Problem with a KPZ-Nonlinearity	2
On the Asymptotics of Solutions of Ordinary Differential Equations of Odd Order	2
On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries	2
Finite-Difference Integro-Interpolation Method for Discontinuous Solutions of the Usadel Equations	2
On the Fundamental Solution Matrix of the Plane Anisotropic Elasticity Theory	2
Problem on the Optimal Estimation of the Initial State of a Linear Singularly Perturbed System	2
Sub-Lorentzian Extremals Defined by an Antinorm	2
Solution of Some Problems for the String Vibration Equation in a Half-Strip by Quadratures	2
On a Control Problem for a System of Implicit Differential Equations	2
Blow-Up of the Solution and Global Solvability of the Cauchy Problem for the Equation of Vibrations of a Hollow Rod	2
Reflecting Function and a Generalization of the Notion of First Integral	2
Globally Stable Difference Schemes for the Fisher Equation	2
Explicit Formulas for the Coefficients in the Lappo-Danilevsky Solution of Linear Ordinary Differential Equations	2
On the Numerical Solution of Nonconservative Hyperbolic Systems of Equations	2
Conservative Equations in Field Theory: Conservation and Symmetry Laws	2
On Singularities of $$A $$-Orbital Feedback Linearization of Single-Input Affine Controllable Systems	2
The Flux Problem for the Navier–Stokes–Voigt Equations	2
Tricomi Problem for a Differential–Difference Equation of Mixed Type with Parallel Degeneration Lines	2
On Asymptotics of the Spectrum of an Integral Operator with a Logarithmic Kernel of a Special Form	2
Controllability for Problems with Mixed Constraints	2

On the Properties of Oscillation Indices of Solutions to Differential Systems	2
Validation of a Computational Algorithm Based on the Discontinuous Galerkin Method for the Baer–Nunziato Relaxation Model	2
An Inverse Problem for Electrodynamic Equations with a Nonlinear Dependence of the Current Density on the Electric Field	2
Dirichlet Problem on the Half-Line for an Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator	2
Existence of Solutions of a Boundary Value Problem for a Diffusion Equation with Piecewise Constant Arguments	2
Quantitative Controllability Indices of Nonlinear Systems	2
A Finite-Difference Scheme for Discontinuous Solutions of the Usadel Equations	2
Nonideal Thermal Contact Problem	2