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 2020-11-01 to 2024-11-01.)

Article	Citations
Problem of Determining the Reaction Coefficient in a Fractional Diffusion Equation	21
Inverse Problem of Determining the Heat Source Density for the Subdiffusion Equation	21
On Volterra Integro-Differential Equations with Kernels Representable by Stieltjes Integrals	12
Inverse Problem for a First-Order Hyperbolic System with Memory	11
Green’s Functions of the Navier and Riquier–Neumann Problems for the Biharmonic Equation in the Ball	11
On the Properties of Semigroups Generated by Volterra Integro-Differential Equations with Kernels Representable by Stieltjes Integrals	10
Analysis of Boundary Value and Extremum Problems for a Nonlinear Reaction–Diffusion–Convection Equation	10
Kipriyanov–Beltrami Operator with Negative Dimension of the Bessel Operators and the Singular Dirichlet Problem for the $$B $$-Harmonic Equation	9
Smooth Solutions of Hyperbolic Equations with Translation by an Arbitrary Vector in the Free Term	8
Compact Difference Schemes on a Three-Point Stencil for Second-Order Hyperbolic Equations	8
To the Theory of Differential Inclusions with Caputo Fractional Derivatives	8
Uniqueness of Solutions of the First and Second Initial–Boundary Value Problems for Parabolic Systems in Bounded Domains on the Plane	8
Classical Solutions of Hyperbolic Differential–Difference Equations in a Half-Space	7
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	7
Determining the Coefficient of a Mixed Parabolic-Hyperbolic Equation with Noncharacteristic Type Change Line	7
On the Existence of Two-Point Oscillatory Solutions of a Perturbed Relay System with Hysteresis	7
Inverse Problem of Determining an Unknown Coefficient in the Beam Vibration Equation	6
Studying Volterra Integro-Differential Equations by Methods of the Theory of Operator Semigroups	6
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	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
Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential	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
Spectral Properties of the Cauchy Problem for a Second-Order Operator with Involution	5

Nonlinear Volterra Equations with Loads and Bifurcation Parameters: Existence Theorems and Construction of Solutions	5
Estimate of the Capture Time and Construction of the Pursuer’s Strategy in a Nonlinear Two-Person Differential Game	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
On the Spectrum of Two-Point Boundary Value Problems for the Dirac Operator	5
Nonlocal Perturbation of a Periodic Problem for a Second-Order Differential Operator	5
Stochastic Equations of Sobolev Type with Relatively $$p $$-Radial Operators in Spaces of Differential Forms	5
Fixed Points of a Mapping Generated by a System of Ordinary Differential Equations with Relay Hysteresis	5
Hilbert Type Problem for a Cauchy–Riemann Equation with Singularities on a Circle and at a Point in the Lower-Order Coefficients	5
Quadrature Formula for the Harmonic Double Layer Potential	5
Inverse Problem of Finding a Factor Depending on the Spatial Variables on the Right-Hand Side in a Parabolic-Hyperbolic Equation	5
Homogeneous Sub-Riemannian Geodesics on a Group of Motions of the Plane	4
On a Class of Integro-Differential Equations in the Singular Case	4
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator	4
Compact Difference Schemes for the Multidimensional Klein–Gordon Equation	4
Uniqueness of the Solution of the Cauchy Problem for the General Euler–Poisson–Darboux Equation	4
On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source	4
Poisson Potential in the First Initial–Boundary Value Problem for a Parabolic System in a Semibounded Domain on the Plane	4
Periodic Boundary Layer Solutions of a Reaction–Diffusion Problem with Singularly Perturbed Boundary Conditions of the Third Kind	4
Finiteness of Moments of Solutions to Mixed-Type Stochastic Differential Equations Driven by Standard and Fractional Brownian Motions	4
Using Poisson Series in the Analytic Theory of Irregularly Degenerate Elliptic Differential Operators	4
Digital Superstabilization of a Switched Interval Linear System	4
Darboux Problem for the Fourth-Order Bianchi 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
Determining the Thermal Mode Setting Parameters Based on Output Data	3
Identification Problem for Strongly Degenerate Evolution Equations with the Gerasimov–Caputo Derivative	3
Positive Solution of One Conjecture in the Theory of Polynomial Isochronous Centers of Liénard Systems	3
On the Multiplicity of Eigenvalues of a Fourth-Order Differential Operator on a Graph	3
Mixed Problem with a Nonlinear Boundary Condition for a Semilinear Wave Equation	3
Operator Equations of the Second Kind: Theorems on the Existence and Uniqueness of the Solution and on the Preservation of Solvability	3
Comparative Analysis of Optimal Filters of the Second and Third Order for Continuous-Time Systems	3
Two Equivalent Finite Volume Schemes for Stefan Problem on Boundary-Fitted Grids: Front-Tracking and Front-Fixing Techniques	3
Spectral Stability Conditions for an Explicit Three-Level Finite-Difference Scheme for a Multidimensional Transport Equation with Perturbations	3
Riemann–Hadamard Method for One System in Three-Dimensional Space	3
On the Properties of the Generators of Semigroups Associated with Volterra Integro-Differential Equations	3
On the Relationship Between the Pontryagin Maximum Principle and the Hamilton–Jacobi–Bellman Equation in Optimal Control Problems for Fractional-Order Systems	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
On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation	3
On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions	3
Construction of a Generalized Solution of a Mixed Problem for the Telegraph Equation: Sequential and Axiomatic Approaches	3
Nonlocal Boundary Value Problem with an Integral Condition for a Mixed Type Equation with a Singular Coefficient	3
Solution Decomposition Schemes for Second-Order Evolution Equations	3
Constructing Countably Many Distinct Suslin Sets of Characteristic Exponents in the Perron Effect of Change of Their Values	3
A Method for Studying Integral Equations by Using a Covering Set of the Nemytskii Operator in Spaces of Measurable Functions	3
Optimal Feedback in a Linear–Quadratic Optimal Control Problem for a Fractional-Order System	3
On Optimal Discretization of Solutions of the Heat Equation and the Limit Error of the Optimum Computing Unit	3
Lyapunov Function Method for Systems of Difference Equations: Stability with Respect to Part of the Variables	3
Dirichlet–Neumann Problem for the Biharmonic Equation in Exterior Domains	3
Well-Posed Solvability of Volterra Integro-Differential Equations in Hilbert Spaces	3
Reduction Method and New Exact Solutions of the Multidimensional Nonlinear Heat Equation	3

Initial–Boundary Value Problems for the Beam Vibration Equation with Allowance for Its Rotational Motion under Bending	3
Two-Dimensional Asymptotic Models of Thin Cylindrical Elastic Gaskets	3
Elliptic Differential Operators with Analytic Coefficients and Linear Degeneracy	3
Time-Invariant Polyhedron-Preserving Linear Differential Equations with the Hukuhara Derivative	3
On the Minimax Solution of the Hamilton-Jacobi Equations for Neutral-Type Systems: the Case of an Inhomogeneous Hamiltonian	3
Functional and Differential Inequalities and Their Applications to Control Problems	3
Application of Differential-Geometric Methods of Control Theory to the Theory of Partial Differential Equations. I	3
Nonlocal Generalized Implicit Function Theorems in Hilbert Spaces	3
Inhomogeneous Boundary Value Problem for Complex Heat Transfer Equations with Fresnel Matching Conditions	3
Existence and Uniqueness of Solutions of Differential Equations Weakly Controlled by Rough Paths with an Arbitrary Positive Hölder Exponent	3
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
Analytical Representation of the Integral Scattering Cross-Section in the Integrofunctional Discrete Source Method	2
Example of a Differential System with Complete Perron and Upper-Limit Instability but Massive Partial Stability	2
On an Integral Equation with Sum Kernel and an Inhomogeneity in the Linear Part	2
Analog of the Kolmogorov Equations for One-Dimensional Stochastic Differential Equations Controlled by Fractional Brownian Motion with Hurst Exponent $$H\in (0,1)$$	2
Algorithm of the Regularization Method for a Nonlinear Singularly Perturbed Integro-Differential Equation with Rapidly Oscillating Inhomogeneities	2
The Flux Problem for the Navier–Stokes–Voigt Equations	2
Barycentric Method for Boundary Value Problems of Mathematical Physics	2
Pseudoshift and the Fundamental Solution of the Kipriyanov $$ \Delta _B$$-Operator	2
Numerical Solution Methods for a Nonlinear Operator Equation Arising in an Inverse Coefficient Problem	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
A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings	2
Stability of Solutions of Stochastic Differential Equations Weakly Controlled by Rough Paths with Arbitrary Positive Hölder Exponent	2
Explicit–Implicit Schemes for Calculating the Dynamics of Elastoviscoplastic Media with a Short Relaxation Time	2
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain	2
Stability of Linear Stochastic Differential Equations of Mixed Type with Fractional Brownian Motions	2
Sufficient Conditions for the Existence of Stabilizing Controllers for Switched Interval Systems	2
Solvability of Degenerating Hyperbolic Differential Equations with Unbounded Operator Coefficients	2
Invariant Manifolds and Global Attractor of the Ginzburg–Landau Integro-Differential Equation	2
Quasigradient Aiming Strategies in Optimal Control Problems for Time-Delay Systems	2
Global Solvability of Time-Varying Semilinear Differential-Algebraic Equations, Boundedness and Stability of Their Solutions. I	2
Parabolic Problem with a Power-Law Boundary Layer	2
Third Boundary Value Problem in a Half-Strip for the Fractional Diffusion Equation	2
On the Multiple Spectrum of a Problem for the Bessel Equation with Squared Spectral Parameter in the Boundary Condition	2
On a Method of Mathematical Modeling of Electrical Synapses	2
Asymptotic Solution of the Cauchy Problem with Localized Initial Data for a Wave Equation with Small Dispersion Effects	2
Asymptotics of the Solution of a Singularly Perturbed System of Equations with a Multizone Internal Layer	2
On the Features of Numerical Solution of Coefficient Inverse Problems for Nonlinear Equations of the Reaction–Diffusion–Advection Type with Data of Various Types	2
Solution Uniqueness Criteria in a Time-Nonlocal Problem for the Operator Differential Equation $$l(\cdot )\!-\!A$$ with the Tricomi Operator $$A$$	2
Existence and Uniqueness of the Classical Solution of the First Boundary Value Problem for Parabolic Systems on the Plane	2
Unique Solvability of an Initial–Boundary Value Problem for a System of Third-Order Partial Differential Equations	2
Simultaneous Stabilization of a Family of Delay Differential Systems by a Dynamic State Feedback	2
Contact Problem for Second Order Parabolic Systems in a Strip with a Nonsmooth Interface Curve	2
Global Algebraic Poincaré–Bendixson Annulus for the van der Pol System	2
On the Preservation of a Quadratic Lyapunov Function of a Linear Differential Autonomous System under Constant Perturbations of the Coefficients	2
Investigation of Three-Dimensional Fluid Filtration Problems with Sources on the Boundaries	2
Sliding Window Algorithm for Parametric Identification of Dynamical Systems with Rectangular and Ellipsoid Parameter Uncertainty Domains	2
Generalized Solvability of a Parabolic Model Describing Transfer Processes in Domains with Thin Inclusions	2
On the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions	2
Construction of Stabilization Systems for Switched Interval Plants with Modes of Different Orders	2
Quasidifferentiability and Uniform Observability of Linear Time-Varying Singularly Perturbed Systems	2
On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries	2
Spectral Properties of Classical Dirac Operators and Operators with Involution in Homogeneous Function Spaces	2
Application of Piecewise Quadratic Value Functions to the Approximate Solution of a Nonlinear Target Control Problem	2
Optimal Feedback Control for a Model of Motion of a Nonlinearly Viscous Fluid	2
On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator	2
Numerical Construction of the Transform of the Kernel of the Integral Representation of the Poincaré–Steklov Operator for an Elastic Strip	2
Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm	2
On the Asymptotic Behavior of Solutions of Odd-Order Differential Equations with Oscillating Coefficients	2
Problem with Sturm Type Conditions for a Second-Order Ordinary Differential Equation with a Distributed Differentiation Operator	2
On the Spectral Properties of a Fourth-Order Self-Adjoint Operator	2
On the Solvability of a System of Nonlinear Integral Equations with the Hammerstein–Stieltjes Operator on the Half-Line	2
Asynchronous Spectrum Assignment for Linear Almost Periodic Systems with Diagonal Mean of the Coefficient Matrix	2
Construction of Polynomial Eigenfunctions of a Second-Order Linear Differential Equation	2
On the Iterative Regularization of the Lagrange Principle in Convex Optimal Control Problems for Distributed Systems of the Volterra Type with Operator Constraints	2
Homogenization Error Estimates for a Periodic Beltrami Equation	2
Lyapunov Exponents of the Radii of Inscribed and Circumscribed Spheres of Solutions of Time-Invariant Linear Differential Equations with the Hukuhara Derivative	2
Stability Issues in Two-Dimensional Mathematical Models of Plasma Equilibrium in Magnetic Galathea Traps	2
Properties of a System of Integral Equations of the First Kind in Problems of Diffraction by a Permeable Body	2
On the Properties of a Quasihydrodynamic System of Equations for a Homogeneous Gas Mixture with a Common Regularizing Velocity	2
On the Fundamental Solution Matrix of the Plane Anisotropic Elasticity Theory	2