Period annuli and multiple solutions for two-point BVD-Reference-Cited by-同舟云学术

Period annuli and multiple solutions for two-point BVD

Published:2009-12-01 Issue:1 Volume:43 Page:11-23
ISSN:1210-3195
Container-title:Tatra Mountains Mathematical Publications
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Author:

Atslega Svetlana,Sadyrbaev Felix

Abstract

Abstract In this article we consider equations of the type xʺ+g(x) = 0 and xʺ+ƒ(x)xʹ<sup>2</sup> + g(x) = 0. The Neumann boundary value problem is considered. For polynomials f and g we provide the multiplicity results. These results are based on a thorough analysis of a phase plane. The existence of period annuli is concerned.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/view/j/tmmp.2009.43.issue-1/v10127-009-0021-x/v10127-009-0021-x.pdf

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