Impulsive quantum (p,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(p,q)$\end{document}-difference equations

被引：0

作者：

Thana Nuntigrangjana

Sasitorn Putjuso

Sotiris K. Ntouyas

Jessada Tariboon

机构：

[1] Rajamangala University of Technology Rattanakosin,School of General Science, Faculty of Liberal Arts

[2] University of Ioannina,Department of Mathematics

[3] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)

[4] King Mongkut’s University of Technology North Bangkok,Research Group, Department of Mathematics, Faculty of Science

来源：

Advances in Difference Equations | / 2020卷 / 1期

关键词：

Quantum ; -difference equations; Impulsive differential equations; Existence; Uniqueness; 05A30; 39A13; 34A37;

D O I：

10.1186/s13662-020-02555-7

中图分类号：

学科分类号：

摘要：

In this paper we study quantum (p,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(p,q)$\end{document}-difference equations with impulse and initial or boundary conditions. We consider first order impulsive (p,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(p,q)$\end{document}-difference boundary value problems and second order impulsive (p,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(p,q)$\end{document}-difference initial value problems. Existence and uniqueness results are proved via Banach’s fixed point theorem.

引用

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