Differential Equations

Article	Citations
Conditions for the Existence of Cycles in a System of Differential Equations	25
Spectral Test for the Exponential Stability	13
Probabilistic Interpretation of the Cauchy Problem for Systems of Nonlinear Parabolic Equations	11
Exact Solutions of Three Sobolev Equations Containing Fourth-Order Pseudo-Laplacians	11
Multistep Methods for Second-Order Differential-Algebraic Equations	10
On the Fundamental Solution of a Parabolic Equation with Dini Continuous Coefficients	10
Application of Differential-Geometric Methods of Control Theory in the Theory of Partial Differential Equations. II	9
Equivalence of Entropy and Renormalized Solutions of a Nonlinear Elliptic Problem in Musielak–Orlicz Spaces	8
On the Solvability of a Periodic Problem for a System of Ordinary Differential Equations with the Main Positive Homogeneous Nonlinearity	8
Linear Version of the Anti-Perron Effect of Change of Positive Characteristic Exponents to Negative Ones	8
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator	8
Solving a One-Dimensional Hypersingular Integral Equation Using Haar’s Wavelets	7
Uniqueness of the Solution of the Gellerstedt Problem for the Lavrent’ev–Bitsadze Equation with a Spectral Parameter	7
Regularity of the Pressure Function for Weak Solutions of the Nonstationary Navier–Stokes Equations	7
Initial Value Problem for a Third-Order Nonlinear Integro-Differential Equation of Convolution Type	7
On the Multiplicity of Eigenvalues of a Fourth-Order Differential Operator on a Graph	7
On the Properties of Solutions of the Equations in the Generalized Hierarchy of the Equation $$P_{34}$$	6
Adaptive Interpolation Algorithm on Sparse Meshes for Numerical Integration of Systems of Ordinary Differential Equations with Interval Uncertainties	6
On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source	6
Sufficient Conditions for the Existence of Stabilizing Controllers for Switched Interval Systems	6
Studying Volterra Integro-Differential Equations by Methods of the Theory of Operator Semigroups	5
The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis	5
On Constructing a Piecewise Affine Stabilizer for a Nonlinear System	5
Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria	5
On the Unique Solvability of the Optimal Starting Control Problem for the Linearized Equations of Motion of a Viscoelastic Medium	5

Pseudodifferential Equations and Boundary Value Problems in a Multidimensional Cone	5
On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source	5
Geometric Conservation Law for Finite Volume Discretization of the Stefan Problem on Boundary-Fitted Grids	5
Inverse Problem of Determining an Unknown Coefficient in the Beam Vibration Equation	5
On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation	5
Estimates of Solutions of Second-Order Linear Elliptic Inequalities	5
State Observer for a Four-Dimensional System with Vector Output	5
On the Existence of a Periodic Mode in a Nonlinear System	5
On the Absence of Solutions of Differential Inequalities with the $$\infty $$-Laplacian	5
Searching for Parameters of a Model with the Best Local Controllability	4
System without Characteristic Directions with a Nonanalytic Center Condition	4
On the Solvability of Fredholm Boundary Integral Equations of the First Kind for the Three-Dimensional Transmission Problem on the Spectrum	4
Family of Logarithmic Spirals in Hamiltonian Systems of Dimension 8 with Control in a Disk	4
Uniform Convergence of Spectral Expansions for a Problem with a Boundary Condition Depending on a Spectral Parameter	4
On the First Initial–Boundary Value Problem for a Model Parabolic System in a Domain with Curvilinear Lateral Boundaries	4
On the Uniqueness of the Solution of the Inverse Coefficient Problem for the Helmholtz Equation in a Phaseless Spatially Nonoverdetermined Statement	4
On the Stability of Solutions to Control Problems for a Nonlinear Reaction–Diffusion–Convection Model	4
On the Asymptotic Behavior of Solutions of Odd-Order Differential Equations with Oscillating Coefficients	4
Simultaneous Stabilization of a Family of Linear Dynamic Plants	4
On the Existence of Feedback Control for One Fractional Voigt Model	4
Solvability of an Initial–Boundary Value Problem for the Modified Kelvin–Voigt Model with Memory along Fluid Motion Trajectories	4
Finite Stabilization Controllers for Hybrid Linear Continuous-Discrete Systems	4
On Optimal Discretization of Solutions of the Heat Equation and the Limit Error of the Optimum Computing Unit	3
On Multiwave Solutions of One Nonlinear Schrödinger Equation	3
Approximations to Problems of Optimal Control of Leading Coefficients of Elliptic Equations in Nondivergence Form with an Unbounded Nonlinearity in the Coefficients	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
Phragmén–Lindelöf Type Theorems	3
Classification of Quasilinear Systems of Ordinary Differential Equations and Its Application to Normalization of Systems in the Bogdanov–Takens Critical Case	3
On the Solvability of a System of Nonlinear Integral Equations with the Hammerstein–Stieltjes Operator on the Half-Line	3
A Method for Studying Integral Equations by Using a Covering Set of the Nemytskii Operator in Spaces of Measurable Functions	3
Explicit–Implicit Schemes for Calculating Dynamics of Elastoviscoplastic Media with Softening	3
Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations	3
On the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions	3
Erratum to: On the Eighty-Fifth Anniversary of Viktor Antonovich Sadovnichii	3
High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients	3
Example of a Differential System with Complete Perron and Upper-Limit Instability but Massive Partial Stability	3
On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold	3
Stabilization of a Differential-Difference System of Delay Type	3
Construction of Polynomial Eigenfunctions of a Second-Order Linear Differential Equation	3
Well-Posed Solvability of Volterra Integro-Differential Equations Arising in Viscoelasticity Theory	3
Lyapunov Function Method for Systems of Difference Equations: Stability with Respect to Part of the Variables	3
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	3
On $$A$$-Orbital Linearization of Three-Dimensional Single-Input Affine Systems	3
Chaotic Dynamics of Homogeneous Yang–Mills Fields with Three Degrees of Freedom	3
On the Relationship between the Solutions of an Abstract Euler–Poisson–Darboux Equation and Fractional Powers of the Operator Coefficient in the Equation	3
Estimates for the Locally Periodic Homogenization of the Riemann–Hilbert Problem for a Generalized Beltrami Equation	3
Invariants of Geodesic, Potential, and Dissipative Systems with Three Degrees of Freedom	3
Computation of the Leading Eigenvalue and the Corresponding Eigenelement of Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter	3
A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings	3
On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant	3

The Cauchy Problem for a Nonlinear Wave Equation	3
Generalized Solutions of Stationary Boundary Value Problems for Biwave Equations	3
Stability Change of Invariant Manifolds of Differential Systems with Multiscale Variables	2
Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions	2
Approximate Solution of the Inverse Boundary Value Problem for a Singularly Perturbed System of Partial Differential Equations	2
Existence and Uniqueness of Solutions of Some Cauchy Problems for the Emden–Fowler Equation	2
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	2
On the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems	2
On Feedback Control Systems Governed by Fractional Differential Inclusions	2
Description of a Linear Perron Effect under Parametric Perturbations of a Linear Differential System with Unbounded Coefficients	2
On the Problem of Separation of Variables in Systems of Ordinary Differential Equations	2
Biquaternionic Wave Equations and the Properties of Their Generalized Solutions	2
Sub-Lorentzian Extremals Defined by an Antinorm	2
On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions	2
Validation of a Computational Algorithm Based on the Discontinuous Galerkin Method for the Baer–Nunziato Relaxation Model	2
On the Monotonicity of Solutions of Nonlinear Systems with Respect to the Initial Conditions	2
Theoretical Aspects of Constructing a Neurocontroller for Switched Systems	2
To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential Systems	2
On the Weak Solvability of a Mathematical Model Describing the Motion of Polymer Solutions with Memory	2
On the Numerical Solution of Nonconservative Hyperbolic Systems of Equations	2
On the Properties of Conservative Finite Volume Scheme for the Two-Phase Stefan Problem	2
A Difference Scheme with Well-Controlled Dissipation for Solving the Kapila Model Equations	2
Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures	2
A Finite-Difference Scheme for Discontinuous Solutions of the Usadel Equations	2
On Systems of Differential Equations with Constraints in the Form of Not Necessarily Convex Sets	2
On the Study of Robust Exponential Stability of Continuous- and Discrete-Time Systems	2
Problem with an Analog of the Frankl Condition on an Internal Characteristic for an Equation of Mixed Type	2
On One Class of Multidimensional Integral Equations of Convolution Type with Convex Nonlinearity	2
On Instability in Systems with an Integral Invariant	2
Partial Stability of Systems of Itô Linear Delay Differential Equations	2
Reflecting Function and a Generalization of the Notion of First Integral	2
Properties of a System of Integral Equations of the First Kind in Problems of Diffraction by a Permeable Body	2
On the Fundamental Solution Matrix of the Plane Anisotropic Elasticity Theory	2
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain	2
On Error Estimates for Discretization Operators for the Solution of the Poisson Equation	2
Construction of Diagonal Lyapunov–Krasovskii Functionals for a Class of Positive Differential-Algebraic Systems	2
On a Control Problem for a System of Implicit Differential Equations	2
The Flux Problem for the Navier–Stokes–Voigt Equations	2
On the Existence of Periodic Solutions of a System of Second-Order Ordinary Differential Equations with a Quasihomogeneous Nonlinearity	2
On Positive Bounded Solutions of One Class of Nonlinear Integral Equations with the Hammerstein–Nemytskii Operator	2
Integration of the Negative-Order Modified Korteweg–de Vries Equation with a Loaded Term in the Class of Periodic Functions	2
Initial–Boundary Value Problem for a Three-Dimensional Equation of the Parabolic-Hyperbolic Type	2
Variational Methods for Solving Problems Associated with Artificial Intelligence	2
Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III	2
Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm	2
A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient	2
Initial–Boundary Value Problem for Flows of a Fluid with Memory in a 3D Network-Like Domain	2
Solution of a Problem with Initial Conditions of the Cauchy Type for a Higher-Order Equation with a Hilfer Fractional Derivative	2
On Asymptotics of the Spectrum of an Integral Operator with a Logarithmic Kernel of a Special Form	2
Spectral Properties of the Generator of a Semigroup Generated by the Volterra Integro-Differential Equation	2
On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries	2
On the Relationship Between the Pontryagin Maximum Principle and the Hamilton–Jacobi–Bellman Equation in Optimal Control Problems for Fractional-Order Systems	2
Global Algebraic Poincaré–Bendixson Annulus for the van der Pol System	2
Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations	2
Localization of Eigenfunctions of the Dirichlet Problem near a Contour at the Boundary of a Thin Domain	2
Methods for Parametric Identification of Fractional Differential Equations	2
Globally Stable Difference Schemes for the Fisher Equation	2
Boundary Value Problem for a First-Order Partial Differential Equation with Liouville Fractional Derivative	1
On the Fredholm Property and Solvability of a System of Integral Equations in the Transmission Problem for the Helmholtz Equation	1
On the Properties of a Quasihydrodynamic System of Equations for a Homogeneous Gas Mixture with a Common Regularizing Velocity	1
Naimark Problem for an Ordinary Differential Equation with a Fractional Discrete Distributed Differentiation Operator	1
Group Analysis, Reductions, and Exact Solutions of the Monge–Ampère Equation in Magnetic Hydrodynamics	1
Fixed Points of a Mapping Generated by a System of Ordinary Differential Equations with Relay Hysteresis	1
Representation of the Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball	1
Balance-Characteristic Method for Calculating Hemodynamics of a Single Vessel	1
Asymptotic Behavior of the Solution to the Cauchy Problem for a Nonlinear Equation	1
Solvability of Nonlinear Boundary Value Problems for Differential Equilibrium Equations of Nonflat Timoshenko Type Shells of Nonzero Gaussian Curvature in Isometric Coordinates	1
On the Existence of Solutions of Degenerate Discrete-Time Systems	1
On Some Properties of the Shift on an Infinite-Dimensional Torus	1
Studying the Surface Wave Spectrum of an Open Inhomogeneous Rectangular Dielectric Waveguide	1
On a Boundary Value Problem for a System of Differential–Difference Equations of Retarded Type	1
Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity	1
On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions	1
On the Stabilization of Time Averages of the Solution to a Petrovskii-Parabolic System of Equations	1
Investigation of Three-Dimensional Fluid Filtration Problems with Sources on the Boundaries	1
Stability and Convergence of Difference Schemes Approximating Boundary Value Problems for Loaded Sobolev-Type Fractional Differential Equations	1
On Determining the Coefficients of a Quadratic Lyapunov Function with Given Properties in the Case of Multiple Roots of the Characteristic Equation	1
On the Existence of Solutions of Nonlinear Boundary Value Problems for a System of Differential Equilibrium Equations for Timoshenko-Type Shells in Isometric Coordinates	1
Estimates of Integrally Bounded Solutions of Linear Differential Inequalities	1
Stabilization of a Switched System with Commensurate Delays under Slow Switchings	1

Estimates of the Accuracy of the Projection Method with a Fractional Smoothness Stabilizer in the Problem of Reconstructing the Wavefront Based on Its Slopes	1
Internal Transition Layer Structure in the Reaction–Diffusion Problem for the Case of a Balanced Reaction with a Weak Discontinuity	1
Finding the Two-Dimensional Relaxation Kernel of an Integro-Differential Wave Equation	1
Optimal Feedback in a Linear–Quadratic Optimal Control Problem for a Fractional-Order System	1
Smooth Solutions of Hyperbolic Equations with Translation by an Arbitrary Vector in the Free Term	1
On One Gellerstedt Problem with Data on Parallel Characteristics	1
Invariant Manifolds and Global Attractor of the Ginzburg–Landau Integro-Differential Equation	1
Isochronous and Strongly Isochronous Foci of Polynomial Liénard Systems	1
A Numerical Method for Solving the Diffraction Problem Described by Maxwell’s Equations with Mesoscopic Boundary Conditions	1
Traveling Wave Method	1
On an Invertible Extension of a Nonself-Adjoint Singular Differential Operator on the Half-Line	1
On the Asymptotic Stability and Ultimate Boundedness of Solutions of a Class of Nonlinear Systems with Delay	1
Modification of the Discrete Singularity Method for Nonuniform Grids As Applied to One-Dimensional Integral Equations with a Strong Singularity in the Kernel	1
A Special Version of the Collocation Method for One Class of Integro-Differential Equations	1
On One Cauchy Problem for a Hyperbolic Differential-Difference Equation	1
Controllability for Problems with Mixed Constraints	1
Multiplicative Control Problems for the Diffusion–Drift Charging Model of an Inhomogeneous Polar Dielectric	1
Initial–Boundary Value Problem for a Nonlinear Modified Boussinesq Equation	1
Distribution of the Spectrum of a Sturm–Liouville Operator Perturbed by a Delta Interaction	1
Analysis of a Multipoint Boundary Value Problem for a Nonlinear Matrix Differential Equation	1
A Priori Estimate of Solutions of a Mixed Problem for the Vlasov–Poisson System with a Homogeneous External Magnetic Field	1
Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms	1
Approximation of the Solution of an Inverse Problem for a Singularly Perturbed System of Partial Differential Equations	1
Inverse Problem of Finding a Factor Depending on the Spatial Variables on the Right-Hand Side in a Parabolic-Hyperbolic Equation	1
On Singular Heat Equation	1
To the Solution of the Inverse Problem of Scattering Theory on the Entire Line	1
On the Existence of a Globally Lyapunov Unstable Differential System All of Whose Solutions Tend to Zero as Time Tends to Infinity	1
Two-Dimensional Boundary Value Problems for Filtration Flows with Randomly Located Sources in an Inhomogeneous Porous Layer	1
Numerical Solution of the Baer–Nunziato Relaxation Model Using the Discontinuous Galerkin Method	1
Algorithm of the Regularization Method for a Nonlinear Singularly Perturbed Integro-Differential Equation with Rapidly Oscillating Inhomogeneities	1
Study of the Parameter Space of a Multidimensional System with Relay Hysteresis and Perturbation	1
On the Instability of Millionshchikov Linear Differential Systems with Continuous Dependence on a Real Parameter	1
Stability Analysis of Solutions of Continuous–Discrete Stochastic Systems with Aftereffect by a Regularization Method	1
On the Pinsky Phenomenon for B-Elliptic Operators	1
On A.P. Favorskii’s Quasiacoustic Scheme	1
Asymptotics of the Solution of a Singularly Perturbed System of Equations with a Single-Scale Internal Layer	1
On Regularization of Classical Optimality Conditions in Convex Optimization Problems for Volterra-Type Systems with Operator Constraints	1
On One Degenerating Singular Integral Operator	1
Linear Differential Equations with Hukuhara Derivative Preserving the Constant Width Property	1
A Nonlocal Problem with an Integral Matching Condition for a Loaded Parabolic-Hyperbolic Equation with a Fractional Caputo Derivative	1
Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions	1
Uniform Attractors for the Modified Kelvin–Voigt Model	1
Solution of Some Problems for the String Vibration Equation in a Half-Strip by Quadratures	1
Boundary Value Problem for One Differential Equation with Variable Coefficients and Liouville Fractional Derivative	1
Tricomi Problem for a Differential–Difference Equation of Mixed Type with Parallel Degeneration Lines	1
An Inverse Problem for the Wave Equation with Two Nonlinear Terms	1
Well-Posed Solvability of Integro-Differential Equations in Spaces of Vector Functions Holomorphic in a Sector	1
Dirichlet Problem on the Half-Line for an Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator	1
Bifurcations in Integrable Hamiltonian Systems near Corank-One Singularities	1
Solvability of Linear Differential Equations	1
Existence and Uniqueness of Solutions of Differential Equations Weakly Controlled by Rough Paths with an Arbitrary Positive Hölder Exponent	1
Third Boundary Value Problem in a Half-Strip for the Fractional Diffusion Equation	1
Minimum Principle for the Tikhonov Functional in the Problem of Stable Continuation of a Potential Field from a Surface	1
Quantitative Controllability Indices of Nonlinear Systems	1
On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator	1
Retraction Note: Proof of the Jacobian Conjecture in the Two-Dimensional Case and Global Isochronous Centers of Polynomial Hamiltonian Differential Systems	1
Nonideal Thermal Contact Problem	1
Solution of a Semi-Boundary Value Problem for a Degenerate Partial Differential Equation	1
On an Elliptic Problem in a Half-Plane with a Cut along a Ray	1
Sliding Window Algorithm for Parametric Identification of Dynamical Systems with Rectangular and Ellipsoid Parameter Uncertainty Domains	1
Reconstruction of Unknown Disturbances When Measuring Part of Phase Coordinates	1
Algorithms for Robust Inversion of Dynamical Systems	1
Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems	1
On the Dynamic Tension of a Thin Round Perfectly Rigid-Plastic Layer Made of Transversely Isotropic Material	1
A Variant of the Fourier Series in a Spherical Domain and Its Application to Modeling the Evaporation of a Water Droplet	1
On the Stability by the Nonlinear Nonstationary Hybrid Approximation	1
Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point	1
Two-Dimensional Asymptotic Models of Thin Cylindrical Elastic Gaskets	1
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 Solution	1
Numerical Investigations of the Dynamics of Development of Two-Dimensional Perturbations in Magnetic Galathea Traps	1
On Some Extremal Problems Associated with Motion in a Velocity Field	1
Spectrum Assignment for a System of Neutral Type	1
Solvability of the Cauchy Problem for the 3D System of Mathematical Theory of Thermoelasticity	1
On a Nonlinear Second-Order Ordinary Differential Equation	1
Stability of Solutions of Stochastic Differential Equations Weakly Controlled by Rough Paths with Arbitrary Positive Hölder Exponent	1
Problem on the Optimal Estimation of the Initial State of a Linear Singularly Perturbed System	1
Determining the Thermal Mode Setting Parameters Based on Output Data	1
Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations	1
On an Integral Equation with Sum Kernel and an Inhomogeneity in the Linear Part	1
Finite Stabilization and Finite Spectrum Assignment by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral Type	1
Sharp Observation Error Estimate for the “Super-Twisting” Algorithm in the Presence of Measurement Error	1