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Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In...
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Common best proximity point theorems in Hausdorff topological spaces
In the present paper, we have obtained common best proximity point theorems of nonself maps in Hausdorff topological space. Further, our results...
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Self-adaptive alternating direction method of multiplier for a fourth order variational inequality
We propose an alternating direction method of multiplier for approximation solution of the unilateral obstacle problem with the biharmonic operator....
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Bitsadze-Samarsky type problems with double involution
In this paper, the solvability of a new class of nonlocal boundary value problems for the Poisson equation is studied. Nonlocal conditions are...
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Solutions of the functional difference Toda equation from centered Darboux transformation
By using a particular Darboux transformation which we can call centered Darboux transformation, we construct solutions of the functional difference...
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Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
In this paper, we establish the boundedness of multilinear commutators of Hardy–Littlewood maximal operators on Herz-type spaces where all the...
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Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles
In an effort to express Clifford-valued signals efficiently in time–frequency domain, we introduce the notion of the novel integral transform known...
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Ϝ-Contraction of Hardy–Rogers type in supermetric spaces with applications
This article focuses on studying some fixed-point results via Ϝ -contraction of Hardy–Rogers type in the context of supermetric space and ordered...
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The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture
In this paper, we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress...
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On Taylor’s formulas in fractional calculus: overview and characterization for the Caputo derivative
This paper discusses some aspects of Taylor’s formulas in fractional calculus, focusing on use of Caputo’s definition. Such formulas consist of a...
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Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions
This work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that...
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Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach
In this work, we derive a system of Boltzmann-type equations to describe the spread of contact-based infections, such as SARS-CoV-2 virus, at the...
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Integrals involving log and polylogarithms associated with Euler sums
Integrals that contain polylogarithmic functions in the integrand are occasionally represented in closed form by utilizing specialized Euler sums. We...
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Deformations and q-Convolutions. Old and New Results
This paper is the survey of some of our results related to q -deformations of the Fock spaces and related to q -convolutions for probability measures...
