Qualitative investigation of the second order equation x¨+f(x, x¯) x¯+g(x)=0
Published online by Cambridge University Press: 01 September 1997
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
Footnotes
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