Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-26T14:24:48.304Z Has data issue: false hasContentIssue false
  • English
  • Français

Qualitative investigation of the second order equation x¨+f(x, x¯) x¯+g(x)=0

Published online by Cambridge University Press:  01 September 1997

J. F. JIANG
J. F. JIANG
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei, China
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper investigates the qualitative behaviour of solutions of the second order equation x¨+f(x, x¯) x¯+g(x)=0. The sufficient conditions for all solutions to be oscillatory are established. The theorems on the existence of a nontrivial periodic solution are proved and the criteria for the origin to be a global centre and globally asymptotically stable are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 2 , September 1997 , pp. 325 - 342
Copyright
Cambridge Philosophical Society 1997

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.)

Footnotes

This research was supported by the National Natural Science Foundation of China.