DIFFERENTIAL EQUATIONS

Global Unsolvability of the Burgers Equation with Fractional Time Derivative

Basis Properties in Lp of a Sturm-Liouville Operator with Spectral Parameter in the Boundary Conditions

Two-Point Boundary Value Problems for Essentially Singular Second-Order Linear Differential Equations

Instantaneous Blow-Up of a Weak Solution of a Problem in Plasma Theory on the Half-Line

Algorithms for Constructing Isolating Sets of Phase Flows and Computer-Assisted Proofs with the Use of Interval Taylor Models

Solvability of an Operator Riccati Integral Equation in a Reflexive Banach Space

Observation Problem for MIMO-Systems with Unknown Input under Degenerate Relative Degree

Efficient Numerical Integration Methods for the Cauchy Problem for Stiff Systems of Ordinary Differential Equations

Unconditional Basis Property of the System of Root Functions of a Differential Operator with Integral Boundary Conditions

On Some Nonstandard Boundary Value Problems for 3D Vector Fields

Monotone Finite-Difference Schemes of Second-Order Accuracy for Quasilinear Parabolic Equations with Mixed Derivatives

Uniqueness of Solution of the First Initial-Boundary Value Problem for Parabolic Systems with Constant Coefficients in a Semibounded Domain on the Plane

Carleman Estimate for a Hyperbolic-Parabolic System

Cauchy Problem and the Second Mixed Problem for Parabolic Equations with a Dirac Potential Concentrated at Finitely Many Given Points

One Method for the Nonlocal Stabilization of a Burgers-Type Equation by an Impulse Control

System of Integral Equations for Solving an Inverse Problem for a Quasilinear Hyperbolic Equation

Construction of Observers for a Delay Differential System with One-Dimensional Output

Solutions of the Fourth-Order Equation in the Generalized Hierarchy of the Second Painlevé Equation

Controllability Problems for the Korteweg–de Vries Equation with Integral Overdetermination

On the Choice of Mathematical Models for Describing the Dynamics of Digital Economy

Existence of an Infinite Spectrum of Damped Leaky TE Waves in an Open Inhomogeneous Cylindrical Metal–Dielectric Waveguide

Numerical Model of Compression Plasma Flows in Channels under a Longitudinal Magnetic Field

Uniform Convergence of Expansions in Root Functions of a Differential Operator with Integral Boundary Conditions

Centers and Isochronous Centers of Newton Systems with Force Function Quadratic in Velocities

Construction of an Arbitrary Suslin Set of Positive Characteristic Exponents in the Perron Effect

Problem with a Periodicity Condition for an Equation of the Mixed Type with Strong Degeneration

Behavior of Trajectories of the Levinson-Smith Equation

Asymptotics of a Spike Type Contrast Structure in a Problem with a Multiple Root of the Degenerate Equation

Application of Fractional Powers of a Singular Schrödinger Operator to the Study of a Differential Equation in a Banach Space

Boundary Value Problems of Shielding Magnetic Fields by Cylindrical Multilayered Film Screens with Nonlinear Properties of the Layers

Solvability and Green’s Function of a Degenerate Boundary Value Problem on a Graph

On the Hölder Property of Solutions of a Generalized System of Beltrami Equations

Distribution of the Spectrum of a Singular Sturm-Liouville Operator Perturbed by the Dirac Delta Function

Uniqueness of the Solution of the Cauchy Problem for Parabolic Systems

Liouville Formula for Some Classes of Differential Equations with the Hukuhara Derivative

Necessary and Sufficient Conditions for the Existence of a Classical Solution of the Mixed Problem for the Homogeneous Wave Equation with an Integrable Potential

Hyperbolic Attractors of Diffeomorphisms of Euclidean Space

On the Solvability of Boundary Value Problems for an Abstract Bessel-Struve Equation

Problem with an Analog of the Frankl Condition on the Boundary Characteristic and General Transmission Conditions on the Degeneration Segment for a Class of Mixed Type Equations

Synthesis of Observers for Linear Systems of Neutral Type

Spectrum and a Trace Formula for a Compactly Supported Perturbation of the 2D Harmonic Oscillator in a Strip

Basis Property of the System of Root Functions of the Oblique Derivative Problem for the Laplace Operator in a Disk

Control and Observation Problems in Banach Spaces. Optimal Control and Maximum Principle. Applications to Ordinary Differential Equations in ℝ n

Numerical Methods for a Nonstationary 3D Singular Integral Equation of Electrodynamics

Exact Solutions of a Nonclassical Equation with a Nonlinearity under the Laplacian

Complete Description of the Exponential Stability Index for Linear Parametric Systems as a Function of the Parameter

Family of Dynamical Systems Whose Topological Entropy Is Nowhere Upper Semicontinuous