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 2020-04-01 to 2024-04-01.)

Article	Citations
Problem of Determining the Thermal Memory of a Conducting Medium	22
Inverse Problem of Determining the Heat Source Density for the Subdiffusion Equation	18
Problem of Determining the Reaction Coefficient in a Fractional Diffusion Equation	17
Semigroups Generated by Volterra Integro-Differential Equations	12
On Volterra Integro-Differential Equations with Kernels Representable by Stieltjes Integrals	10
Initial–Boundary Value Problem for a Nonlinear Beam Vibration Equation	10
Global Classical Solutions of Some Two-Dimensional Hyperbolic Differential-Difference Equations	10
Green’s Functions of the Navier and Riquier–Neumann Problems for the Biharmonic Equation in the Ball	9
Weak Solvability of Equations Modeling Steady-State Flows of Second-Grade Fluids	9
Analysis of Boundary Value and Extremum Problems for a Nonlinear Reaction–Diffusion–Convection Equation	8
Uniqueness of Solutions of the First and Second Initial–Boundary Value Problems for Parabolic Systems in Bounded Domains on the Plane	8
Inverse Problems of Determining the Right-Hand Side and the Initial Conditions for the Beam Vibration Equation	8
Compact Difference Schemes on a Three-Point Stencil for Second-Order Hyperbolic Equations	8
On the Existence of Oscillatory Modes in a Nonlinear System with Hystereses	7
Classical Solutions of Hyperbolic Differential–Difference Equations in a Half-Space	7
Generalized Holmgren Problem for an Elliptic Equation with Several Singular Coefficients	7
Kipriyanov–Beltrami Operator with Negative Dimension of the Bessel Operators and the Singular Dirichlet Problem for the $$B $$-Harmonic Equation	7
On the Properties of Semigroups Generated by Volterra Integro-Differential Equations with Kernels Representable by Stieltjes Integrals	6
Solvability of a Nonlocal Problem for an Evolution Equation with a Superstable Semigroup	6
Inverse Problem of Determining an Unknown Coefficient in the Beam Vibration Equation	6
Adaptive Interpolation Algorithm on Sparse Meshes for Numerical Integration of Systems of Ordinary Differential Equations with Interval Uncertainties	6
Interval Approach to Solving Parametric Identification Problems for Dynamical Systems	6
Integro-Differential Equation of the Convolution Type with a Power Nonlinearity and an Inhomogeneity in the Linear Part	6
On the Existence of Two-Point Oscillatory Solutions of a Perturbed Relay System with Hysteresis	6
Initial–Boundary Value Problem for a Three-Dimensional Equation of the Parabolic-Hyperbolic Type	6

On the Existence of a Periodic Mode in a Nonlinear System	6
Regularized Isothermal Phase-Field Type Model of a Two-Phase Compressible Fluid and Its One-Dimensional Spatial Discretization	6
Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential	6
Stability of Implicit Difference Schemes for a Linearized Hyperbolic Quasi-Gasdynamic System of Equations	6
Method of Hyperelastic Nodal Forces for Deformation of Nonlinear Membranes	6
Stochastic Equations of Sobolev Type with Relatively $$p $$-Radial Operators in Spaces of Differential Forms	5
Analysis and Optimization of an Adaptive Interpolation Algorithm for the Numerical Solution of a System of Ordinary Differential Equations with Interval Parameters	5
Internal Layer for a Singularly Perturbed Equation with Discontinuous Right-Hand Side	5
Inverse Problem of Finding a Factor Depending on the Spatial Variables on the Right-Hand Side in a Parabolic-Hyperbolic Equation	5
On the Solvability of Nonlinear Boundary Value Problems for the System of Differential Equations of Equilibrium of Shallow Anisotropic Timoshenko-Type Shells with Free Edges	5
Completeness of the Asymmetric Products of Solutions of a Second-Order Elliptic Equation and the Uniqueness of the Solution of an Inverse Problem for the Wave Equation	5
On the Behavior of the Spectrum of a Perturbed Steklov Boundary Value Problem with a Weak Singularity	5
Transformation of Hyperoutput Systems to a Form with Relative Degree	5
Spectral Properties of the Cauchy Problem for a Second-Order Operator with Involution	5
To the Theory of Differential Inclusions with Caputo Fractional Derivatives	5
Inverse Problem for a First-Order Hyperbolic System with Memory	4
Mathematical Models of Equilibrium Configurations of Plasma Surrounding Current-Carrying Conductors	4
Determining the Thermal Mode Setting Parameters Based on Output Data	4
Analytic Properties of Solutions to Equations in the Generalized Hierarchy of the Second Painlevé Equation	4
Digital Superstabilization of a Switched Interval Linear System	4
Compact Difference Schemes for the Multidimensional Klein–Gordon Equation	4
Uniqueness of the Solution of the First Initial–Boundary Value Problem for a Parabolic System with Differentiable Coefficients in a Half-Strip with Nonsmooth Lateral Boundary	4
Hilbert Type Problem for a Cauchy–Riemann Equation with Singularities on a Circle and at a Point in the Lower-Order Coefficients	4
Numerical Analysis of Two-Dimensional Magnetic Cloaking Problems Based on an Optimization Method	4
On a Class of Integro-Differential Equations in the Singular Case	4
Nonlocal Perturbation of a Periodic Problem for a Second-Order Differential Operator	4
Studying Volterra Integro-Differential Equations by Methods of the Theory of Operator Semigroups	4
Quadrature Formula for the Harmonic Double Layer Potential	4
Homogeneous Sub-Riemannian Geodesics on a Group of Motions of the Plane	4
On the Existence of Three Nontrivial Solutions of a Resonance Elliptic Boundary Value Problem with a Discontinuous Nonlinearity	4
Asymptotically Stable Stationary Solutions of the Reaction–Diffusion–Advection Equation with Discontinuous Reaction and Advection Terms	4
Smooth Solutions of Hyperbolic Equations with Translation by an Arbitrary Vector in the Free Term	4
Nonlinear Volterra Equations with Loads and Bifurcation Parameters: Existence Theorems and Construction of Solutions	4
Estimate of the Capture Time and Construction of the Pursuer’s Strategy in a Nonlinear Two-Person Differential Game	4
Periodic Boundary Layer Solutions of a Reaction–Diffusion Problem with Singularly Perturbed Boundary Conditions of the Third Kind	4
On the Properties of Semigroups Generated by Volterra Integro-Differential Equations	3
Bessel Inequality and the Basis Property for a $$2m\times 2m $$ Dirac Type System with an Integrable Potential	3
On the Well-Posedness of Boundary Value Problems for a Fractional Diffusion-Wave Equation and One Approach to Solving Them	3
Darboux Problem for the Fourth-Order Bianchi Equation	3
Singularly Perturbed Stationary Diffusion Model with a Cubic Nonlinearity	3
Determining the Coefficient of a Mixed Parabolic-Hyperbolic Equation with Noncharacteristic Type Change Line	3
Problems on Plane-Parallel Filtration Flows with Sources at the Boundaries	3
Finiteness of Moments of Solutions to Mixed-Type Stochastic Differential Equations Driven by Standard and Fractional Brownian Motions	3
Method of Boundary Integral Equations in the Problem of Diffraction of a Monochromatic Electromagnetic Wave by a System of Perfectly Conducting and Piecewise Homogeneous Dielectric Objects	3
Finite-Order Entire Solutions of a Class of Algebraic Differential Equations	3
Quadrature Formula for the Direct Value of the Normal Derivative of the Single Layer Potential	3
Riemann–Hadamard Method for One System in Three-Dimensional Space	3
One Class of Structurally Stable Endomorphisms on an Infinite-Dimensional Torus	3
On the Existence of Linear Differential Systems with All Positive Characteristic Exponents of the First Approximation and with Exponentially Decaying Perturbations and Solutions	3
Positive Solution of One Conjecture in the Theory of Polynomial Isochronous Centers of Liénard Systems	3

Nonlocal Boundary Value Problem with an Integral Condition for a Mixed Type Equation with a Singular Coefficient	3
Poisson Potential in the First Initial–Boundary Value Problem for a Parabolic System in a Semibounded Domain on the Plane	3
A Method for Studying Integral Equations by Using a Covering Set of the Nemytskii Operator in Spaces of Measurable Functions	3
Boundary Value Problems for Elliptic Pseudodifferential Equations in a Multidimensional Cone	3
Functional and Differential Inequalities and Their Applications to Control Problems	3
Time-Invariant Polyhedron-Preserving Linear Differential Equations with the Hukuhara Derivative	3
Inhomogeneous Boundary Value Problem for Complex Heat Transfer Equations with Fresnel Matching Conditions	3
Iterative Method for the Numerical Solution of an Inverse Coefficient Problem for a System of Partial Differential Equations	3
On the Spectrum of Two-Point Boundary Value Problems for the Dirac Operator	3
Cauchy Problem for an Ordinary Differential Equation with a Distributed-Order Differentiation Operator	3
Global Asymptotic Stability with Respect to Part of the Variables for Solutions of Systems of Ordinary Differential Equations	3
Initial–Boundary Value Problems for the Beam Vibration Equation with Allowance for Its Rotational Motion under Bending	3
Explicit–Implicit Schemes for First-Order Evolution Equations	3
Existence and Uniqueness of a Solution of a System of Nonlinear Integral Equations	3
Fixed Points of a Mapping Generated by a System of Ordinary Differential Equations with Relay Hysteresis	3
Comparative Analysis of Optimal Filters of the Second and Third Order for Continuous-Time Systems	3
Regularized Trace of a Sturm–Liouville Operator on a Curve with a Regular Singularity on the Chord	3
Constructing Countably Many Distinct Suslin Sets of Characteristic Exponents in the Perron Effect of Change of Their Values	3
Nonlocal Generalized Implicit Function Theorems in Hilbert Spaces	3
Spectral Stability Conditions for an Explicit Three-Level Finite-Difference Scheme for a Multidimensional Transport Equation with Perturbations	3
Dirichlet–Neumann Problem for the Biharmonic Equation in Exterior Domains	3
Investigation of Three-Dimensional Fluid Filtration Problems with Sources on the Boundaries	2
Modeling Superconductor SFN-Structures Using the Finite Element Method	2
Construction of Stabilization Systems for Switched Interval Plants with Modes of Different Orders	2
One Class of Systems of Linear Fredholm Integral Equations of the Third Kind on the Real Line with Multipoint Singularities	2
Analyticity of an Operator Semigroup Arising in Viscoelasticity Problems	2
Analytical Representation of the Integral Scattering Cross-Section in the Integrofunctional Discrete Source Method	2
Lyapunov Function Method for Systems of Difference Equations: Stability with Respect to Part of the Variables	2
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator	2
Blow-up of Solutions of a Mixed Problem for Systems of Wave Equations with Boundary Dissipation and with an Interior Nonlinear Focusing Source of Variable Growth Order	2
Existence of a Periodic Solution in the Form of a Two-Dimensional Front in a System of Parabolic Equations	2
Transversal Curves for Finding the Exact Number of Limit Cycles	2
On Optimal Discretization of Solutions of the Heat Equation and the Limit Error of the Optimum Computing Unit	2
Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm	2
Use of Shrink Wrapping for Interval Taylor Models in Algorithms of Computer-Assisted Proof of the Existence of Periodic Trajectories in Systems of Ordinary Differential Equations	2
Solution Uniqueness Criteria in a Time-Nonlocal Problem for the Operator Differential Equation $$l(\cdot )\!-\!A$$ with the Tricomi Operator $$A$$	2
Simultaneous Stabilization of a Family of Delay Differential Systems by a Dynamic State Feedback	2
Well-Posed Solvability of Volterra Integro-Differential Equations in Hilbert Spaces	2
Numerical Solution Methods for a Nonlinear Operator Equation Arising in an Inverse Coefficient Problem	2
Sufficient Conditions for the Existence of Stabilizing Controllers for Switched Interval Systems	2
Using Poisson Series in the Analytic Theory of Irregularly Degenerate Elliptic Differential Operators	2
A Problem with the Bitsadze–Samarskii Condition on the Characteristics of One Family and with General Transmission Conditions on the Degeneration Line for the Gellerstedt Equation with a Singular Coef	2
Lyapunov Vector Functions, Krasnosel’skii Canonical Domains, and Existence of Poisson Bounded Solutions	2
On the Fundamental Solution Matrix of the Plane Anisotropic Elasticity Theory	2
On the Preservation of a Quadratic Lyapunov Function of a Linear Differential Autonomous System under Constant Perturbations of the Coefficients	2
Stability Issues in Two-Dimensional Mathematical Models of Plasma Equilibrium in Magnetic Galathea Traps	2
On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source	2
Optimal Feedback Control for a Model of Motion of a Nonlinearly Viscous Fluid	2
Solution Decomposition Schemes for Second-Order Evolution Equations	2
On the Properties of a Quasihydrodynamic System of Equations for a Homogeneous Gas Mixture with a Common Regularizing Velocity	2
Mixed Problem with a Nonlinear Boundary Condition for a Semilinear Wave Equation	2
On the Properties of the Generators of Semigroups Associated with Volterra Integro-Differential Equations	2
Estimates of the Exponential Decay of Perturbations Superimposed on the Longitudinal Harmonic Vibrations of a Viscous Layer	2
Uniqueness of the Solution of the Cauchy Problem for the General Euler–Poisson–Darboux Equation	2
Necessary and Sufficient Conditions for the Solvability of the Complex Cauchy Problem in Classes of Functions of Vector-Exponential Type	2
On the Approximate Solution of Integro-Differential Equations with a Degenerate Coefficient	2
Operator Equations of the Second Kind: Theorems on the Existence and Uniqueness of the Solution and on the Preservation of Solvability	2
Asynchronous Spectrum Assignment for Linear Almost Periodic Systems with Diagonal Mean of the Coefficient Matrix	2
Two Equivalent Finite Volume Schemes for Stefan Problem on Boundary-Fitted Grids: Front-Tracking and Front-Fixing Techniques	2
Lyapunov Exponents of the Radii of Inscribed and Circumscribed Spheres of Solutions of Time-Invariant Linear Differential Equations with the Hukuhara Derivative	2
Contact Problem for Second Order Parabolic Systems in a Strip with a Nonsmooth Interface Curve	2
Global Solvability of Time-Varying Semilinear Differential-Algebraic Equations, Boundedness and Stability of Their Solutions. I	2
Application of Differential-Geometric Methods of Control Theory to the Theory of Partial Differential Equations. I	2
Identification Problem for Strongly Degenerate Evolution Equations with the Gerasimov–Caputo Derivative	2
Stability of Linear Stochastic Differential Equations of Mixed Type with Fractional Brownian Motions	2
Solvability of Degenerating Hyperbolic Differential Equations with Unbounded Operator Coefficients	2
Asymptotic Solution of the Cauchy Problem with Localized Initial Data for a Wave Equation with Small Dispersion Effects	2
Parabolic Problem with a Power-Law Boundary Layer	2
On a Method of Mathematical Modeling of Electrical Synapses	2
Spectral Properties of Classical Dirac Operators and Operators with Involution in Homogeneous Function Spaces	2
Algorithm of the Regularization Method for a Nonlinear Singularly Perturbed Integro-Differential Equation with Rapidly Oscillating Inhomogeneities	2
Existence and Uniqueness of Solutions of Differential Equations Weakly Controlled by Rough Paths with an Arbitrary Positive Hölder Exponent	2
Interior Estimates of Solutions of Linear Differential Inequalities	2
Barycentric Method for Boundary Value Problems of Mathematical Physics	2
Pseudoshift and the Fundamental Solution of the Kipriyanov $$ \Delta _B$$-Operator	2
On the Spectral Properties of a Fourth-Order Self-Adjoint Operator	2
Unique Solvability of an Initial–Boundary Value Problem for a System of Third-Order Partial Differential Equations	2
Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions	2
Sliding Window Algorithm for Parametric Identification of Dynamical Systems with Rectangular and Ellipsoid Parameter Uncertainty Domains	2