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Spectral properties related to generalized complementary Romanovski–Routh polynomials
Complementary Romanovski–Routh polynomials play an important role in extracting specific properties of orthogonal polynomials. In this work, a...
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Some Boundary-Value Problems Corresponding to the Model of Fractional Differential Filtration Dynamics in a Fractured Porous Media Under the Condition of Time Non-Locality
Closed-form solutions to some boundary-value problems of fractional differential geofiltration dynamics in a fractured porous medium are obtained for...
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Some Two-Dimensional Boundary-Value Problems of Filtration Dynamics for Models with Proportional Caputo Derivative
Closed-form solutions are obtained for some two-dimensional non-stationary boundary-value problems of filtration dynamics in fractured-porous rocks,...
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On Approximation by Hyperbolic Splines
The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding...
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Continual and Classical Wavelets
We propose a unified theoretical scheme within the framework of which we study the classical and nonclassical wavelet decompositions of discrete and...
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Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations
AbstractThe solvability of spatially nonlocal boundary value problems for one-dimensional parabolic equations, as well as for some equations of the...
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Boundary controllability for a 1D degenerate parabolic equation with a Robin boundary condition
In this paper, we prove the null controllability of a one-dimensional degenerate parabolic equation with a weighted Robin boundary condition at the...
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Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems
Classical model order reduction (MOR) for parametric problems may become computationally inefficient due to large sizes of the required projection...
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Adaptive Haar Type Wavelets on Manifolds
We consider embedded Haar type spaces associated with cell subdivisions of a smooth manifold. We use an adaptivity criterion connected with a...
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Stability Criterion for Maximal Terms of Dirichlet Series
We study the behavior of the maximal term of the Dirichlet series with positive exponents the sum of which is an entire function. For the class of...
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Constraint Qualification with Schauder Basis for Infinite Programming Problems
We consider infinite programming problems with constraint sets defined by systems of infinite number of inequalities and equations given by...
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Cauchy–de Branges Spaces, Geometry of Their Reproducing Kernels and Multiplication Operators
Cauchy–de Branges spaces are Hilbert spaces of entire functions defined in terms of Cauchy transforms of discrete measures on the plane and...
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On generating Sobolev orthogonal polynomials
Sobolev orthogonal polynomials are polynomials orthogonal with respect to a Sobolev inner product, an inner product in which derivatives of the...
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On the Dynamics of Matrix Models for Immune Clonal Networks
We propose some new matrix models for clonal network dynamics that are typical for simulating various biological clonal-type networks and study their...
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On Some Fast Implementations of Fourier Interpolation
This article presents new results related to the author’s recent research on accelerated use of classical Fourier techniques. In the case of...
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Connection coefficients for ultraspherical polynomials with argument doubling and generalized bispectrality
We start by presenting a generalization of a discrete wave equation that is satisfied by the entries of the matrix coefficients of the refinement...
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Boundary-Value Problems of Fractional-Differential Consolidation Dynamics for the Model with the Caputo–Fabrizio Derivative
Closed-form solutions are obtained to some boundary-value problems of fractional-differential filtration-consolidation dynamics with respect to the...
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A Spectral Theorem for the Semigroup Generated by a Class of Infinitely Many Master Equations
In this article we investigate the spectral properties of the infinitesimal generator of an infinite system of master equations arising in the...