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Period annuli and multiple solutions for two-point BVD

Svetlana Atslega

Atslega, Svetlana

and

Felix Sadyrbaev

Sadyrbaev, Felix

Nov 12, 2012

Period annuli and multiple solutions for two-point BVD's Cover Image

Tatra Mountains Mathematical Publications

Volume 43 (2009): Issue 1 (August 2009)

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Published Online: Nov 12, 2012

Page range: 11 - 23

DOI: https://doi.org/10.2478/v10127-009-0021-x

Keywords
Neumann boundary conditions, phase portrait, period annulus, multiplicity of solutions.

This content is open access.

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.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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