Mathematical Notes

Papers
(The TQCC of Mathematical Notes is 1. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
Any Chebyshev Curve without Self-Intersections Is Monotone21
On the Solvability of Nonlinear Parabolic Functional-Differential Equations with Shifts in the Spatial Variables13
$$\mathscr{F}$$-Mean Equicontinuity on Amenable Semigroups12
On the Well-Posed Solvability of the Cauchy Problem for the Generalized Mainardi Equation11
Calculation of the Asymptotics of the Solution of the Inhomogeneous Heat Equation by the Auxiliary Parameter Method11
Recognizability of the Groups $$PSp_8(7^m)$$ by the Set of Element Orders11
A Note on $$L^1$$-Convergence of Fourier Series with Riesz Mean10
Jackson–Stechkin Type Inequalities between the Best Polynomial Approximations and Generalized Moduli of Continuity in the Weighted Bergman Space $$\mathscr{B}_{2,\gamma}$$9
Lauricella Function and the Conformal Mapping of Polygons9
On the Reverse Dzyadyk Inequality for Polynomials with Zeros on a Closed Interval9
Pivotal Weak Turaev $$\pi$$-Coalgebras9
On the Krein–Rechtman Theorem in the Presence of Multiple Points9
S. R. Nasyrov’s Problem of Approximation by Simple Partial Fractions on an Interval8
Weighted Estimates of the Fractional Type Marcinkiewicz Integral and Its Commutator on Morrey–Guliyev Spaces8
Weak Leibniz Algebras8
On the Gauss Maps of Minimal Surfaces Sharing Hyperplanes in Subgeneral Position8
On the Growth Function of $$n$$-Valued Dynamics8
On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces8
Asymptotic Solutions of Flow Problems with Boundary Layer of Double-Deck Structures7
Finite Groups in Which Maximal Subgroups of Sylow $$p$$-Subgroups are $$\mathcal{M}$$-Permutable7
Lattices of Extensions of Cyclically Ordered Sets and Compactifications of Generalized Cyclically Ordered Spaces7
Some Algebraic Properties of Hermite–Padé Polynomials7
On Analogues of Heilbronn’s Theorem6
On a Polynomial Version of the Sum-Product Problem for Subgroups6
On Sufficient Conditions for the Consistency of Local Linear Kernel Estimators6
Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics6
On a Refinement of the Schneider–Lang theorem6
Complex Appell–Bessel Functions and Their Degenerate Analogs6
Counterexamples to the Hardy–Littlewood Theorem for Generalized Monotone Sequences6
On Power Series Related to Multivariate Records6
Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator6
On Weyl Multipliers for Unconditional Convergence of Series in Ciesielski Systems5
Basic Predicate Calculus is Sound with Respect to a Modified Version of Strictly Primitive Recursive Realizability5
On the Torsion in the Group $$F/[M,N]$$ in the Case of Combinatorial Asphericity of the Groups $$F/M$$ and $$F/N$$5
On the Number of Minimum Dominating Sets in Trees5
On the $$p(x)$$-Curl-System Problem with Indefinite Weight and Nonstandard Growth Conditions5
Fractional Kinetic Equations5
Finite Groups with a Solvable Hall $$\sigma$$-Basis5
A Finite Group with a Maximal Miller–Moreno Subgroup5
Average Dimension of Shift Spaces and Their Subspaces5
Contractibility of Sparse Clouds5
Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups5
The Cost of Symmetry in Connected Graphs5
Existence of Common Fixed Points of Generalized Set-Contractions on a $$b$$-Metric Space with a Directed Graph5
Behavior of Solutions to the Fuzzy Difference Equation $$z_{n+1}=A+\dfrac{B}{z_{n-m}}$$5
$$\pmb N$$-Laplacian Equation with a Nonlinear Neumann Boundary Condition and a Singular Nonlinearity5
Davenport Constant for Finite Abelian Groups with Higher Rank5
Auslander Condition and Gorenstein Rings5
Lacunary Recurrence Relations with Gaps of Length 8 for the Bernoulli and Euler Polynomials5
Extremality of Gibbs Measures for the $$HC$$-Blume–Capel Model on the Cayley Tree5
Local Extremal Interpolation on the Semiaxis with the Least Value of the Norm for a Linear Differential Operator5
Weakly Dissipative Linear Dynamical Systems and a Quadratic Keldysh Pencil5
Estimate of the Convergence Rate in the Riemann Localization Principle for Trigonometric Fourier Series of Continuous Functions5
Theoretical Analysis of Weighted $$\ell_{1}$$ and $$\ell_{1-2}$$-Minimization with Multiple Weighting Sets5
On Embeddings in the Class of Partially Commutative Nilpotent Groups4
On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions4
On the Convergence of Negative-Order Cesàro Means of Fourier and Fourier–Walsh Series4
Linear Weingarten Spacelike Submanifolds in Semi-Riemannian Space Form4
Asymptotics of the Relaxation Cycle in the Modified Logistic Equation with Delay4
Alexandroff Homology and Path Homology4
Mixed Problem for a Nonlinear Schrödinger Equation of Negative Order in the Class of Periodic Infinite-Gap Functions4
$$\beta_1$$-Triangulations of 3-Manifolds4
Trigonometric Polynomials with Frequencies in the Set of Cubes4
Lichnerowicz Laplacian from the Point of View of the Bochner Technique4
Complete Shrinking General Ricci Flow Soliton Systems4
Invariants of Permutational Unitary Equivalence Classes of the Parseval Frames4
On a Finite Group Generated by Subnormal Supersoluble Subgroups4
Approximation of Mathieu Functions by Parabolic Cylinder Functions4
Sharp $$L^p$$-Estimates for the Fourier Transform of Surface Measures4
Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group4
Relation between Regularity of Quadratic Stochastic Operators and Associativity of Algebras Generated by These Operators4
Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Saddles of Codimension 14
Limit Theorem on Convergence to the Local Time of a Brownian Bridge4
On the Connection between the Growth of Zeros and the Decrease of Taylor Coefficients of Entire Functions4
Stechkin’s Problem on Approximation of the Differentiation Operator in the Uniform Norm on the Half-Line4
Spectral Expansion for Nonself-Adjoint Differential Operators with Periodic Matrix Coefficients4
A Mixed Problem for a Class of Second-Order Nonlinear Hyperbolic Systems with Dirichlet and Poincaré Boundary Conditions4
Approximate Search for the $$k$$th Order Distance in a System of Unit Square Points4
Periodic Gibbs Measures and Their Extremality for the HC-Blume–Capel Model in the Case of a Wand with a Chemical Potential on a Cayley Tree4
On Two-Distance $$(0,1)$$-Counterexamples to Borsuk’s Conjecture in $$l_p$$ Metrics4
On Various Notions of Representability of $$l_r$$-Spaces in Orlicz Function Spaces3
Estimation of the Norm of the Hermite–Fejér Interpolation Operator with Variable Order Derivatives in Sobolev Spaces3
Local Dynamics of a Singularly Perturbed Second Order Equation with State-Dependent Delay3
Kolmogorov Widths of an Intersection of Anisotropic Finite-Dimensional Balls in the Case of $$2\le q_j<\infty$$3
First Asymptotics of Solutions of Degenerate Second-Order Differential Equations3
Generalized Vilenkin Groups3
Sets of Uniqueness for Subsystems of the Trigonometric System3
Construction of Solutions to Analogs of Nonstationary Schrödinger Equations Corresponding to a Pair of Isomonodromic Hamiltonian Systems $$H^{5/2+3/2}$$ and $$H^{5/2+2}$$ of the Hierarc3
On Projection from $$A^P_\Omega$$ to the Hardy Spaces $$H^p$$3
Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative3
An Efficient Algorithm for Decomposing a Vector into Two Vectors with a Small Uniform Norm3
On the Asymptotics of the Traveling Wave Velocity on a Saddle-Node Trajectory3
On the Best Simultaneous Approximation in the Bergman Space $$B_2$$3
Sub-Riemannian Coarea Formula for Classes of Noncontact Mappings of Carnot Groups3
Hereditary Saturated Subsets and the Invariant Basis Number Property of the Leavitt Path Algebra of Cartesian Products3
Chaotic Laminations and Their Properties3
A Series of Spectral Gaps for the Almost Mathieu Operator with a Small Coupling Constant3
Erratum to: Exact Discretization of the $$L_2$$-Norm with Negative Weight3
On Hereditarily Undecidable Fragments of Basic Elementary Theories3
Large Gaps between Sums of Two Squareful Numbers3
On the Properties of Rings of Integro-Differential Operators and Their Corresponding Equations3
An Analytical Formula for the Argument of the Gamma Function as a Complex Quantity3
Maslov Viktor Pavlovich (1930–2023)3
The Space $$H_p$$ of Solutions of Degenerate Parabolic Equations3
Word Transformations Using Left Quasigroups3
Uniformly Convex Sets in Banach Spaces3
Extremal Interpolation in the Mean in the Space $$L_1(\mathbb R)$$ with Overlapping Averaging Intervals3
On Questions Posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in Finite Group Theory3
On Disjointness-Preserving Biadditive Operators3
On Periodicity of the Somos Sequences Modulo $$m$$3
Zeros of Generalized Hermite Polynomials and Ensemble of Gaussian Random Matrices3
On the Delocalization of a Quantum Particle under the Adiabatic Evolution Generated by a One-Dimensional Schrödinger Operator3
On Global Solutions of Second-Order Quasilinear Elliptic Inequalities3
On Approximation Properties of Fourier Series in Jacobi Polynomials $$P_n^{\alpha-r,-r}(x)$$ Orthogonal in the Sense of Sobolev2
Covering a Set by a Convex Compactum: Error Estimates and Computation2
Isothermic Surfaces Associated with the Cylinder Obtained by Ribaucour Transformations2
Approximation of Periodic Functions of High Generalized Smoothness by Fourier Sums2
A Note on Some New Sharp Results on the Zeros of New Area Nevanlinna Type Spaces in the Unit Disk2
Meixner Multiple Orthogonal Polynomials on Interlacing Lattices2
On the Energy of Roots2
Boundary Value Problems for Quasi-Hyperbolic Equations with Degeneration2
On the Unique Solvability of Nonlocal Problems for Abstract Singular Equations2
On Some Properties of the Permanent of Matrices of Small Orders2
Ranks and Approximations for Families of Ordered Theories2
Ideal of the Variety of Flexes of Plane Cubics2
On the Monopolist Problem and Its Dual2
Compactifications of Homeomorphism Groups of Linearly Ordered Compacta2
Aggrandization of Spaces of Holomorphic Functions Reduces to Aggrandization on the Boundary2
On the Approximation of Solutions to the Heat Equation in the Lebesgue Class $$L^2$$ by More Regular Solutions2
Fields of Algebraic Numbers Whose Multiplicative Groups are Free Modulo the Group of Units2
On Operator Estimates for Elliptic Operators with Mixed Boundary Conditions in Two-Dimensional Domains with Fast Oscillating Boundary2
$$C^*$$-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators2
On Existence of Global Solutions of Second-Order Quasilinear Elliptic Inequalities2
Simulation of Delay Using a System of Ordinary Differential Equations2
Special Weber Transform with Nontrivial Kernel2
Pointwise Semicommutative Rings2
Invertibility of the Operators on Hilbert Spaces and Ideals in $$C^*$$-Algebras2
To the Problem of a Point Source in an Inhomogeneous Medium2
Functional Ghobber–Jaming Uncertainty Principle2
A Remark on the Inverse Scattering Problem for the Perturbed Hill Equation2
A Note on Systems of Equations of Power Sums2
Many-Dimensional Morse–Smale Diffeomeophisms with a Dominant Saddle2
On Estimating an Inhomogeneous Kloosterman Sum by the Karatsuba Method2
Sharp Bernstein Inequalities for Jacobi–Dunkl Operators2
Banach–Mazur Distance from $$\ell_p^3$$ to $$\ell_\infty^3$$2
Feedback Strategies in a Game-Theoretical Control Problem for a Nonlocal Continuity Equation2
Massive Helson Sets2
Spectral Properties of the Friedrichs Model with Involution2
Unique Response Roman Domination Versus 2-Packing Differential in Complementary Prisms2
Improving Cardinality Estimation of Sums of Sets with Convexity2
A Short Proof of the Landsberg–Schaar Identity2
Lyapunov Inequality for Second-Order Equation with Operator of Distributed Differentiation2
Kuhn–Tucker Type Theorems in Cone and Linear Normed Spaces2
On Finite Groups with $$\mathbb{P}_{\pi}$$-Subnormal Subgroups2
Density of Zeros of the Cartwright Class Functions and the Helson–Szegő Type Condition2
Marcinkiewicz Interpolation Theorem for Spaces of Hardy Type2
On Universal Double Fourier Series2
Hochschild Cohomology of Some Finite Category Algebras as Simplicial Cohomology2
Uniqueness of the Solution of a Class of Integral Equations with Sum-Difference Kernel and with Convex Nonlinearity on the Positive Half-Line2
Surfaces on the Pseudo-Helmholtz Group2
Gibbs Measures for the $$\mathrm{HC}$$-Model in the Case of a Graph of Type “Key” on a Cayley Tree2
On Old and New Formulas for the Catalan and Apéry Constants2
Mean Value Theorem for the Stratified Laplacian2
Boundedness of Solutions of the Ginzburg–Landau System Involving a Subelliptic Operator2
Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain in Lebesgue Spaces2
Kolmogorov Widths of the Class $$W_1^1$$2
A Remarkable Quadratic Form of Voronoi2
Multidimensional Analogs of Theorems about the Density of Sums of Shifts of a Single Function2
Reidemeister Classes, Wreath Products, and Solvability2
Letter to the Editor2
On Solving the Pell Equation with Right-Hand Side $$\pm2$$ Using Continued Fractions2
Values of the Riemann Zeta Function and the Dirichlet Beta Function at Positive Integer Points and Multiple Numerical Series2
On the Existence of a Nonextendable Solution of the Cauchy problem for a $$(1+1)$$-Dimensional Thermal-Electrical Model2
Reconstruction of Functions in Sobolev- and Korobov-Type $$p$$-Ary Classes with Small Smoothness Parameters2
Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations2
Common Fixed Point Theorems under Interpolative Boyd–Wong and Matkowski Type Contractions in Partial $$b$$-Metric Spaces2
Investigation of Data Dependence and Convergence Behavior of $$\mathcal{M}$$-Iteration on Banach Spaces with an Application2
Feedback Optimal Control Problem for a Network Model of Viscous Fluid Flows2
Existence of Solutions to the Nonlinear Kantorovich Transportation Problem2
Density of the Points of Continuity of the Metric Function and Projection in Asymmetric Spaces2
On a Conjecture of Bourgain2
Controllability of Nonstationary Discrete Descriptor Systems under Conditions of Invertibility of a Transformation to a Structural Form2
Independence of the Comprehension Schema in Second-Order Arithmetic from the Parameter-Free Countable Choice2
Asymptotics of Fundamental Solutions of Parabolic Problems2
Deficiency Indices of Block Jacobi Matrices That Do Not Satisfy the Carleman Condition, and Operators with Point Interactions2
On Polynomials Defined by the Discrete Rodrigues Formula2
Solution Blow-Up for a Fractional Fourth-Order Equation of Moore–Gibson–Thompson Type with Nonlinearity Nonlocal in Time2
John–Nirenberg Inequality for Riemann Type Series2
Jacobi’s Triple-Product Identity and an Associated Family of Theta-Function Identities2
On Integral Operators with Homogeneous Kernels in Weighted Lebesgue Spaces on the Heisenberg Group2
Andrei Andreevich Shkalikov2
Qualitative Properties of the Obstacle Problem Solution for the Stieltjes String2
On Locally Chebyshev Sets2
A Refinement of the Two-Radius Theorem on the Bessel–Kingman Hypergroup2
Bernstein Inequality for the Riesz Derivative of Order $$0<\alpha<1$$ of Entire Functions of Exponential Type in the Uniform Norm2
Uniform Convergence of Sine Series with Fractional-Monotone Coefficients2
Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System2
Lipschitz Graphs on Heisenberg groups and Related Problems2
Disjunctive Total Domination on the Corona and Join of Graphs2
Close Turning Points and the Harper Operator2
Rigid Poisson Suspensions without Roots1
Application of the Papkovich–Neuber Formula for Finding Solutions of the Lamé System in a Cone1
Perverse Sheaves on Toric Varieties and Stacks1
Ricci Solitons on Generalized Sasakian-Space-Forms with Kenmotsu Metric1
Exponent of Convergence of a Sequence of Ergodic Averages1
Applying Lauricella’s Function to Construct Conformal Mapping of Polygons’ Exteriors1
Some Classes of Tetradiagonal Determinants via Certain Polynomial Families1
On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative1
Riesz Transform for the One-Dimensional $$(k,1)$$-Generalized Fourier Transform1
Limit Theorems for Random Walks in the Hyperbolic Space1
On Weighted Bilinear Inequalities with Mixed Hardy Operators1
Existence of Bargaining Sets for Cooperative Games with Fuzzy Payoffs1
On Properties of Bases in the James Space1
Stable Connectivity of Identity-Isotopic Gradient-Like Diffeomorphisms of Hyperbolic Surfaces1
The Strong Convexity Supporting Condition and the Lipschitz Condition for the Metric Projection1
On the Estimate of Integral Norm of Solution of the Dirichlet Problem for Quasilinear Elliptic Equation1
Generic Correlations and Ergodic Averages for Strongly and Mildly Mixing Automorphisms1
On New Representations of the Values of the Dirichlet Beta Function at Even Points1
Regularity of Calderón–Zygmund Operators in Domains1
An Existence Theorem for Weak Solutions of the Initial–Boundary Value Problem for the Inhomogeneous Incompressible Kelvin–Voigt Model in Which the Initial Value of Density is Not Bounded f1
Sturm Separation Theorems for a Fourth-Order Equation on a Graph1
Existence, Asymptotics, and Lyapunov Stability of Solutions of Periodic Parabolic Problems for Tikhonov-Type Reaction–Diffusion Systems1
On Commuting Automorphisms of a Finite Nonabelian Group with Metacyclic Central Quotient1
The Golomb–de Bohr Problem of Extremal Interpolation in the Mean with the Least Value of the Norm of the Second Derivative in $$L^1(\mathbb R)$$1
Dynamics of Moments and Stationary States for GKSL Equations of Classical Diffusion Type1
Historic Behavior in Discrete-time Replicator Dynamics1
Periodic Contrast Structures in the Reaction-Diffusion Problem with Fast Response and Weak Diffusion1
On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Forms with Congruential Condition1
Instability of Equilibria in a Solenoidal Force Field1
Linear Inhomogeneous Congruences in Continued Fractions on Finite Alphabets1
Uniform Formulas for the Asymptotic Solution near the Leading Front for Maxwell’s Equations with Temporal Dispersion and Localized Initial Data1
On the Existence of a Wave Front in the Cauchy Problem for the Gurtin–Pipkin Equation1
Isometry Groups of Formal Languages for Generalized Levenshtein Distances1
Nonsingular Morse–Smale Flows with Three Periodic Orbits on Orientable $$3$$-Manifolds1
Analytic Continuation of Two Parametric Families of Hypergeometric Horn Series1
Periodic Contrast Structures in the Reaction–Diffusion–Advection Equation with a KPZ Nonlinearity1
On the Topological Index of Elliptic Operators on Two-Dimensional Manifolds with Cylindrical Ends1
Integral Moduli of Continuity of Sums of Cosine Series with Monotonicity Order of Coefficients between 1 and 21
Class Preserving Automorphisms of Some Nilpotent Groups of Class 21
On the Absolute Convergence of Fourier Series of Functions of Two Variables in the Space $$C^{1,\omega}$$1
On a Property of Quasi-Kähler Manifolds1
Solution of the Quantum Three-Body Problem in a Neighborhood of the Three-Particle Forward Scattering Direction1
On Common Algebraic Points of a Pair of Different Derivatives of Finite-Order Meromorphic Functions1
On Sharp Uniform Estimates of Intermediate Even-Order Derivatives in Sobolev Spaces1
Homogenization of an Optimal Control Problem in an Aperiodically Perforated Plane Domain with Control on the Boundary of Part of the Inclusions: A Critical Case1
Finite Groups with Dispersive Sylow Normalizers1
Boundary Behavior of Large Solutions to the Infinity Laplace Equations on the Half-Line1
Topological and Homological Properties of the Orbit Space of a Simple Three-Dimensional Compact Linear Lie Group1
On the Minimal Norm of a Projection Operator for Linear Interpolation on an $$n$$-Dimensional Ball1
Chains with Diffusion-Type Couplings Contaning a Large Delay1
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