Optimal conditions for the maximum principle for second-order periodic problems

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI:10.58997/ejde.sp.02.h2

G. Holubová

引用次数: 0

Abstract

We provide alternate necessary and/or sufficient conditions on the sign-changing coefficient p(t) for the maximum principle for the second-order periodic problem \(u''=p(t) u + q(t) \) to hold, i.e., for nonnegative \(q\) to yield a nonpositive periodic solution \(u\). See also https://ejde.math.txstate.edu/special/02/h2/abstr.html

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二阶周期问题极大值原理的最优条件

我们为二阶周期问题\(u''=p(t) u + q(t) \)的最大值原理提供了换号系数p(t)的必要和/或充分条件，即，对于非负的\(q\)产生非正的周期解\(u\)。参见https://ejde.math.txstate.edu/special/02/h2/abstr.html

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.