Periodic Solutions of Equations of Emarkov-Pinney Type

Author:

Zhang Meirong1

Affiliation:

1. Department of Mathematical Sciences Tsinghua University Beijing 100084, China

Abstract

Abstract After establishing a relation between the Hill’s equations and the Emarkov-Pinney equations, we are able to use degree theory to remove a technical assumption in [14], and give a complete set of non-resonance conditions for differential equations with repulsive singularities.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Reference1 articles.

1. Math Rach unkova Stanek and Singularities and Laplacians in boundary value problems for nonlinear ordinary differential equations in Handbook of Differential Equations Ordinary Differential Equations vol pp , to appear;Tvrdy;Soc,1950

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