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Period annuli and multiple solutions for two-point BVD

Open Access
|Nov 2012

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.

DOI: https://doi.org/10.2478/v10127-009-0021-x | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 11 - 23
Published on: Nov 12, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2012 Svetlana Atslega, Felix Sadyrbaev, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.