Existence and uniqueness criteria for nonlinear quantum difference equations with $ p $-Laplacian-Reference-Cited by-同舟云学术

Existence and uniqueness criteria for nonlinear quantum difference equations with $ p $-Laplacian

Published:2022 Issue:6 Volume:7 Page:10439-10453
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Yu Changlong¹²,Li Jing¹,Wang Jufang²

Affiliation:

1. Interdisciplinary Research Institute, Faculty of Science, Beijing University of Technology, Beijing 100124, China

2. College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, China

Abstract

<abstract><p>Q-calculus plays an extremely important role in mathematics and physics, especially in quantum physics, spectral analysis and dynamical systems. In recent years, many scholars are committed to the research of nonlinear quantum difference equations. However, there are few works about the nonlinear $ q- $difference equations with $ p $-Laplacian. In this paper, we investigate the solvability for nonlinear second-order quantum difference equation boundary value problem with one-dimensional $ p $-Laplacian via the Leray-Schauder nonlinear alternative and some standard fixed point theorems. The obtained theorems are well illustrated with the aid of two examples.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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