Non-Degeneracy and Periodic Solutions of Semilinear Differential Equations with Deviation-Reference-Cited by-同舟云学术

Non-Degeneracy and Periodic Solutions of Semilinear Differential Equations with Deviation

Published:2006-11-01 Issue:4 Volume:6 Page:563-590
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Meng Gang¹,Yan Ping¹,Lin Xiaoyan²,Zhang Meirong³

Affiliation:

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

2. Department of Mathematics, Huaihua Teachers College Huaihua 418008, Hunan, China

3. Department of Mathematical Sciences and Zhou Pei-Yuan Center for Applied Mathematics Tsinghua University Beijing 100084, China

Abstract

Abstract In this paper, we will use some Sobolev constants to construct certain classes of nondegenerate potentials for linear differential equations with deviation. As an application of these potentials, we will give some existence results of periodic solutions of semilinear equations with deviation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2006-0405/pdf

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