recent research topics in differential equations

Mixed Problems with Integral Conditions for Hyperbolic Equations with the Bessel Operator

• N. V. Zaitseva

On One Cauchy Problem for a Hyperbolic Differential-Difference Equation

Solution of the cauchy problem for one degenerate equation with the dzhrbashyan–nersesyan fractional derivative.

• B. Yu. Irgashev

On the Existence of Feedback Control for One Fractional Voigt Model

• A. V. Zvyagin
• E. I. Kostenko

Existence of Sub-Lorentzian Longest Curves

• Yu. L. Sachkov

Searching for Parameters of a Model with the Best Local Controllability

• M. A. Velishchanskiy
• V. N. Chetverikov

On the Features of Numerical Solution of Coefficient Inverse Problems for Nonlinear Equations of the Reaction–Diffusion–Advection Type with Data of Various Types

• D. V. Lukyanenko
• R. L. Argun
• A. G. Yagola

On Asymptotics of the Spectrum of an Integral Operator with a Logarithmic Kernel of a Special Form

• A. A. Polosin

On Singular Heat Equation

• E. L. Shishkina
• A. K. Yusupova

Discrete Equations, Discrete Transformations, and Discrete Boundary Value Problems

• E. B. Afanas’eva
• V. B. Vasil’ev
• A. B. Kamanda Bongay

Pseudodifferential Equations and Boundary Value Problems in a Multidimensional Cone

Cauchy problem for the loaded korteweg–de vries equation in the class of periodic functions.

• A. B. Khasanov
• T. G. Khasanov

On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold

• M. S. Smirnov

Initial–Boundary Value Problems for Homogeneous Parabolic Systems in a Semibounded Plane Domain and Complementarity Condition

• S. I. Sakharov

On Exact Solutions of a Multidimensional System of Elliptic Equations with Power-Law Nonlinearities

• A. A. Kosov
• E. I. Semenov

On the Smoothness of the Poisson Potential for Second-Order Parabolic Systems on the Plane

• E. A. Baderko
• K. D. Fedorov

System without Characteristic Directions with a Nonanalytic Center Condition

• D. N. Cherginets

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

• N. A. Izobov
• A. V. Il’in

Analysis of a Multipoint Boundary Value Problem for a Nonlinear Matrix Differential Equation

• A. N. Bondarev
• V. N. Laptinskii

Algorithms for Robust Inversion of Dynamical Systems

• E. I. Atamas’
• V. V. Fomichev

On the Variation of the Nonlinearity Parameter in the “Super-Twisting” Algorithm

• A. O. Vysotskii

Hopf Bifurcation in a Predator–Prey System with Infection

• A. P. Krishchenko
• O. A. Podderegin

On the Stability of Periodic Solutions of a Model Navier–Stokes Equation in a Thin Layer

• E. S. Boldyreva

Bounded Real Lemma for the Anisotropic Norm of Time-invariant Systems with Multiplicative Noises

• A. V. Yurchenkov
• I. R. Belov

On the Construction of the Graph of Discrete States of a Switched Affine System

• A. S. Fursov
• P. A. Krylov

On a Problem of Calculating the Solvability Set for a Linear System with Uncertainty

• A. A. Melnikova
• P. A. Tochilin

On a Positional Control Problem for a Nonlinear Equation with Distributed Parameters

• V. I. Maksimov

On the Relationship Between the Pontryagin Maximum Principle and the Hamilton–Jacobi–Bellman Equation in Optimal Control Problems for Fractional-Order Systems

• M. I. Gomoyunov

On Solutions of a System of Nonlinear Integral Equations of Convolution Type on the Entire Real Line

• A. A. Davydov
• Kh. A. Khachatryan
• H. S. Petrosyan

On the Existence of Global Compactly Supported Weak Solutions of the Vlasov–Poisson System with an External Magnetic Field

• A. L. Skubachevskii

Solvability of Linear Differential Equations

• V. S. Mokeichev
• A. M. Sidorov

Behavior of Trajectories of a Four-Dimensional Model of HIV Infection

• A. N. Kanatnikov
• O. S. Tkacheva

On Nonlinear Boundary Value Problems for Differential Inclusions

• A. V. Arutyunov
• Z. T. Zhukovskaya
• S. E. Zhukovskiy

On the Multiple Spectrum of a Problem for the Bessel Equation of an Integer Order with Squared Spectral Parameter in the Boundary Condition

• N. Yu. Kapustin

Existence of Two Solutions of the Inverse Problem for a Mathematical Model of Sorption Dynamics

• A. M. Denisov
• Zhu Dongqin

Some Theoretical Aspects of the Neural Network Approach to Stabilization of Switched Interval Systems

• Yu. M. Mosolova

Cauchy Problem for the Nonlinear Liouville Equation in the Class of Periodic Infinite-Gap Functions

• Kh. N. Normurodov
• U. O. Khudayorov

One-Dimensional Inverse Problem for Nonlinear Equations of Electrodynamics

• V. G. Romanov

Influence of Nonisolated Singularities in a Lower-Order Coefficient of the Bitsadze Equation on the Statement of Boundary Value Problems

• A. B. Rasulov

Gellerstedt Problem with a Nonlocal Oddness Boundary Condition for the Lavrent’ev–Bitsadze Equation

• T. E. Moiseev

Dirichlet Problem on the Half-Line for an Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator

• A. V. Glushak

Analytical Solution of Mixed Problems for the One-Dimensional Ionization Equations in the Case of Constant Velocities of Atoms and Ions

• M. B. Gavrikov
• A. A. Taiurskii

Partial Stability of Systems of Itô Linear Delay Differential Equations

• R. I. Kadiev

On the Properties of the Root Vector Function Systems of a \(2m \) th-Order Dirac Type Operator with an Integrable Potential

• E. C. Ibadov

On a Control Problem for a System of Implicit Differential Equations

• E. S. Zhukovskiy
• I. D. Serova

On the Optimality Conditions in the Weight Minimization Problem for a Shell of Revolution at a Given Vibration Frequency

• M. H. Arabyan

Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures

• A. B. Samokhin
• A. S. Samokhina
• I. A. Yurchenkov

Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point

• L. N. Rajabova

Construction of Integral Representations of Fields in Problems of Diffraction by Penetrable Bodies of Revolution

• Yu. A. Eremin
• V. V. Lopushenko

Classical Solution of the Second Mixed Problem for the Telegraph Equation with a Nonlinear Potential

• V. I. Korzyuk
• J. V. Rudzko
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