Non-degeneracy and uniqueness of periodic solutions for some superlinear beam equations

被引：13

作者：

Li, Wei ^{[1
]}

Zhang, Meirong ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Non-degeneracy; Sobolev constant; Periodic solution; Uniqueness; Superlinear beam equation; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.aml.2008.03.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we will use some Sobolev constants to explicitly characterize a class of potentials q(t) is an element of L-P(R/TZ) for which the periodic linear beam equation u((4)) = q(t)u is non-degenerate. As an application, we will obtain the uniqueness of periodic solutions of a certain class of superlinear beam equations. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：314 / 319

页数：6

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