Results 31 to 40 of about 554,029 (314)
Mathematics, 2020 In this paper, we study the existence of nontrivial solutions for a system of fractional q-difference equations involving q-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue ...
Yaohong Li +3 more
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Fundamental solutions for semidiscrete evolution equations via Banach algebras
Advances in Difference Equations, 2021 We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
Jorge González-Camus +2 more
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Проблемы анализа, 2022 The present work focuses on the statistical Euler summability, Euler statistical convergence, and Euler summability of sequences of fuzzy real numbers via the generalized fractional difference operator.
Kuldip Raj, Kavita Saini, M. Mursaleen
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Nevanlinna Theory for Jackson Difference Operators and Entire Solutions of q-Difference Equations [PDF]
Analysis Mathematica, 2018 This paper has two purposes. One is to establish a version of Nevanlinna theory based on the historic so-called Jackson difference operator Dqf(z)=f(qz)−f(z)qz−z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
T. Cao, H. Dai, J. Wang
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, 2020 In this contribution we consider sequences of monic polynomials orthogonal with respect to Sobolev-type inner product \[ \left\langle f,g\right\rangle= \langle {\bf u}^{\tt M},fg\rangle+\lambda \mathscr T^j f (\alpha)\mathscr T^{j}g(\alpha), \] where ...
Costas-Santos, R. S. +2 more
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Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces [PDF]
, 2016 The abstract theory of self-adjoint extensions of symmetric operators is used to construct self-adjoint realizations of a second-order elliptic operator on $\mathbb{R}^{n}$ with linear boundary conditions on (a relatively open part of) a compact ...
Mantile, A., Posilicano, A., Sini, M.
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An Extension of Hypercyclicity for N-Linear Operators
Abstract and Applied Analysis, 2014 Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bès, J. Alberto Conejero
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Generating functions for some families of the generalized Al-Salam–Carlitz q-polynomials
Advances in Difference Equations, 2020 In this paper, by making use of the familiar q-difference operators D q $D_{q}$ and D q − 1 $D_{q^{-1}}$ , we first introduce two homogeneous q-difference operators T ( a , b , c D q ) $\mathbb{T}(\mathbf{a},\mathbf{b},cD_{q})$ and E ( a , b , c D q − 1 )
Hari Mohan Srivastava, Sama Arjika
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Difference of Some Positive Linear Approximation Operators for Higher-Order Derivatives
Symmetry, 2020 In the present paper, we deal with some general estimates for the difference of operators which are associated with different fundamental functions.
Vijay Gupta, A. Acu, H. Srivastava
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Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives [PDF]
BIT Numerical Mathematics, 2018 For discretisations of hyperbolic conservation laws, mimicking properties of operators or solutions at the continuous (differential equation) level discretely has resulted in several successful methods.
Hendrik Ranocha
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