Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T08:42:32.722Z Has data issue: false hasContentIssue false
  • English
  • Français

Boundedness of solutions of a class of nonlinear systems

Published online by Cambridge University Press:  15 January 2004

XIAOJING YANG
XIAOJING YANG
Affiliation:
Department of Mathematics, Tsinghua University, Beijing, China.
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, we are concerned with the boundedness of all the solutions of the two-dimensional differential system $$ \left.\begin{array}{@{}l@{}}x'\,{=}\,{-}|y|^{p-2} y+f(t)\\ y'\,{=}\,|x|^{q-2} x+g(t) \end{array}\right\} $$ where $1\,{<}\,p$, $1\,{<}\,q\,{<}\,2$ and $5pq\,{>}\,3p+4q$, $pq/(p+q)\,{<}\,1$, $f, g$ are $C^5$ 1-periodic functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 1 , January 2004 , pp. 185 - 193
Copyright
2004 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)