OOIR: Observatory of International Research

Papers

(The TQCC of Differential Equations is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)

Article	Citations
Conditions for the Existence of Cycles in a System of Differential Equations	33
Exact Solutions of Three Sobolev Equations Containing Fourth-Order Pseudo-Laplacians	13
Spectral Test for the Exponential Stability	13
Probabilistic Interpretation of the Cauchy Problem for Systems of Nonlinear Parabolic Equations	12
Application of Differential-Geometric Methods of Control Theory in the Theory of Partial Differential Equations. II	10
Multistep Methods for Second-Order Differential-Algebraic Equations	10
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
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator	8
Linear Version of the Anti-Perron Effect of Change of Positive Characteristic Exponents to Negative Ones	8
Initial Value Problem for a Third-Order Nonlinear Integro-Differential Equation of Convolution Type	7
Solving a One-Dimensional Hypersingular Integral Equation Using Haar’s Wavelets	7
On the Fundamental Solution of a Parabolic Equation with Dini Continuous Coefficients	7
Regularity of the Pressure Function for Weak Solutions of the Nonstationary Navier–Stokes Equations	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
Pseudodifferential Equations and Boundary Value Problems in a Multidimensional Cone	6
State Observer for a Four-Dimensional System with Vector Output	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	6
On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source	6
The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis	6
Estimates of Solutions of Second-Order Linear Elliptic Inequalities	6
Geometric Conservation Law for Finite Volume Discretization of the Stefan Problem on Boundary-Fitted Grids	5

Dirichlet Problem for a Two-Dimensional Wave Equation in a Cylindrical Domain	5
On the Existence of a Periodic Mode in a Nonlinear System	5
On the Unique Solvability of the Optimal Starting Control Problem for the Linearized Equations of Motion of a Viscoelastic Medium	5
On the Solvability of Fredholm Boundary Integral Equations of the First Kind for the Three-Dimensional Transmission Problem on the Spectrum	5
Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria	5
Poisson Formula for the Solution of the Radial Cauchy Problem for a Singular Ultrahyperbolic Equation	5
Inverse Problem of Determining an Unknown Coefficient in the Beam Vibration Equation	5
System without Characteristic Directions with a Nonanalytic Center Condition	5
On the First Initial–Boundary Value Problem for a Model Parabolic System in a Domain with Curvilinear Lateral Boundaries	5
On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation	5
On Constructing a Piecewise Affine Stabilizer for a Nonlinear System	5
On the Existence of Feedback Control for One Fractional Voigt Model	5
On the Uniqueness of the Solution of the Inverse Coefficient Problem for the Helmholtz Equation in a Phaseless Spatially Nonoverdetermined Statement	5
On the Absence of Solutions of Differential Inequalities with the $$\infty $$-Laplacian	5
Simultaneous Stabilization of a Family of Linear Dynamic Plants	4
Finite Stabilization Controllers for Hybrid Linear Continuous-Discrete Systems	4
Chaotic Dynamics of Homogeneous Yang–Mills Fields with Three Degrees of Freedom	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
Solvability of an Initial–Boundary Value Problem for the Modified Kelvin–Voigt Model with Memory along Fluid Motion Trajectories	4
Family of Logarithmic Spirals in Hamiltonian Systems of Dimension 8 with Control in a Disk	4
Searching for Parameters of a Model with the Best Local Controllability	4
On $$A$$-Orbital Linearization of Three-Dimensional Single-Input Affine Systems	4
Uniform Convergence of Spectral Expansions for a Problem with a Boundary Condition Depending on a Spectral Parameter	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
Erratum to: On the Eighty-Fifth Anniversary of Viktor Antonovich Sadovnichii	4
On Optimal Discretization of Solutions of the Heat Equation and the Limit Error of the Optimum Computing Unit	4
Generalized Solutions of Stationary Boundary Value Problems for Biwave Equations	3
A Method for Studying Integral Equations by Using a Covering Set of the Nemytskii Operator in Spaces of Measurable Functions	3
On the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems	3
A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient	3
On Instability in Systems with an Integral Invariant	3
High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients	3
Estimates for the Locally Periodic Homogenization of the Riemann–Hilbert Problem for a Generalized Beltrami Equation	3
Description of a Linear Perron Effect under Parametric Perturbations of a Linear Differential System with Unbounded Coefficients	3
On the Solvability of a System of Nonlinear Integral Equations with the Hammerstein–Stieltjes Operator on the Half-Line	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
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 the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions	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 Study of Robust Exponential Stability of Continuous- and Discrete-Time Systems	3
Variational Methods for Solving Problems Associated with Artificial Intelligence	3
On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold	3
On the Spectra of Oscillation Indices of a Two-Dimensional Nonlinear System and Its First Approximation System	3
Computation of the Leading Eigenvalue and the Corresponding Eigenelement of Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter	3
On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant	3
Explicit–Implicit Schemes for Calculating Dynamics of Elastoviscoplastic Media with Softening	3
The Cauchy Problem for a Nonlinear Wave Equation	3
A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings	3

Example of a Differential System with Complete Perron and Upper-Limit Instability but Massive Partial Stability	3
Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III	3
On Feedback Control Systems Governed by Fractional Differential Inclusions	3
Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm	3
Well-Posed Solvability of Volterra Integro-Differential Equations Arising in Viscoelasticity Theory	3
Invariants of Geodesic, Potential, and Dissipative Systems with Three Degrees of Freedom	3
Construction of Polynomial Eigenfunctions of a Second-Order Linear Differential Equation	3
Stabilization of a Differential-Difference System of Delay Type	3
Lyapunov Function Method for Systems of Difference Equations: Stability with Respect to Part of the Variables	3
Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear 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	2
Construction of Diagonal Lyapunov–Krasovskii Functionals for a Class of Positive Differential-Algebraic Systems	2
Integration of the Negative-Order Modified Korteweg–de Vries Equation with a Loaded Term in the Class of Periodic Functions	2
Reflecting Function and a Generalization of the Notion of First Integral	2
A Finite-Difference Scheme for Discontinuous Solutions of the Usadel Equations	2
On the Problem of Separation of Variables in Systems of Ordinary Differential Equations	2
Asymptotic Behavior of the Solution to the Cauchy Problem for a Nonlinear Equation	2
On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries	2
Distribution of the Spectrum of a Sturm–Liouville Operator Perturbed by a Delta Interaction	2
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain	2
On the Properties of a Quasihydrodynamic System of Equations for a Homogeneous Gas Mixture with a Common Regularizing Velocity	2
On the Monotonicity of Solutions of Nonlinear Systems with Respect to the Initial Conditions	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
Initial–Boundary Value Problem for Flows of a Fluid with Memory in a 3D Network-Like Domain	2
Existence and Uniqueness of Solutions of Differential Equations Weakly Controlled by Rough Paths with an Arbitrary Positive Hölder Exponent	2
Spectral Properties of the Generator of a Semigroup Generated by the Volterra Integro-Differential Equation	2
Traveling Wave Method	2
On a Control Problem for a System of Implicit Differential Equations	2
The Flux Problem for the Navier–Stokes–Voigt Equations	2
On Error Estimates for Discretization Operators for the Solution of the Poisson Equation	2
Fredholm Integral Equation for Problems of Acoustic Scattering by Three-Dimensional Transparent Structures	2
Globally Stable Difference Schemes for the Fisher Equation	2
On Systems of Differential Equations with Constraints in the Form of Not Necessarily Convex Sets	2
Existence of Solutions of a Boundary Value Problem for a Diffusion Equation with Piecewise Constant Arguments	2
On the Fundamental Solution Matrix of the Plane Anisotropic Elasticity Theory	2
A Difference Scheme with Well-Controlled Dissipation for Solving the Kapila Model Equations	2
Properties of a System of Integral Equations of the First Kind in Problems of Diffraction by a Permeable Body	2
Quantitative Controllability Indices of Nonlinear Systems	2
Sub-Lorentzian Extremals Defined by an Antinorm	2
Nonideal Thermal Contact Problem	2
Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions	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
Sharp Observation Error Estimate for the “Super-Twisting” Algorithm in the Presence of Measurement Error	2
On Asymptotics of the Spectrum of an Integral Operator with a Logarithmic Kernel of a Special Form	2
Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations	2
On the Weak Solvability of a Mathematical Model Describing the Motion of Polymer Solutions with Memory	2
Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions	2
Theoretical Aspects of Constructing a Neurocontroller for Switched Systems	2
Existence and Uniqueness of Solutions of Some Cauchy Problems for the Emden–Fowler Equation	2
Approximate Solution of the Inverse Boundary Value Problem for a Singularly Perturbed System of Partial Differential Equations	2
On One Class of Multidimensional Integral Equations of Convolution Type with Convex Nonlinearity	2
Localization of Eigenfunctions of the Dirichlet Problem near a Contour at the Boundary of a Thin Domain	2
Initial–Boundary Value Problem for a Three-Dimensional Equation of the Parabolic-Hyperbolic Type	2
Stability Change of Invariant Manifolds of Differential Systems with Multiscale Variables	2
On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions	2
Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms	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
Validation of a Computational Algorithm Based on the Discontinuous Galerkin Method for the Baer–Nunziato Relaxation Model	2
Controllability for Problems with Mixed Constraints	2
Dirichlet Problem on the Half-Line for an Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator	2
On the Existence of Solutions of Degenerate Discrete-Time Systems	2
Solution of a Problem with Initial Conditions of the Cauchy Type for a Higher-Order Equation with a Hilfer Fractional Derivative	2
Tricomi Problem for a Differential–Difference Equation of Mixed Type with Parallel Degeneration Lines	2
On the Properties of Conservative Finite Volume Scheme for the Two-Phase Stefan Problem	2
Front Motion in a Reaction–Diffusion–Advection Problem with a KPZ-Nonlinearity	2
On the Existence of Periodic Solutions of a System of Second-Order Ordinary Differential Equations with a Quasihomogeneous Nonlinearity	2
On the Numerical Solution of Nonconservative Hyperbolic Systems of Equations	2
Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations	2
Methods for Parametric Identification of Fractional Differential Equations	2
To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential Systems	2