强迫振子周期解的反极大值原理

IF 1.2 2区数学 Q1 MATHEMATICS

Communications in Contemporary Mathematics Pub Date : 2022-01-23 DOI:10.1142/S0219199722500419

A. Albouy, A. J. Ureña

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引用次数: 0

摘要

．考虑线性振荡器u ' ' + u = h (θ)的方程，其中强迫项h: R→R是2 π周期且为正的。我们证明了周期解的存在性意味着正解的存在性。为此，我们建立了该问题与凸分析的若干分离问题之间的联系。

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An antimaximum principle for periodic solutions of a forced oscillator

. Consider the equation of the linear oscillator u ′′ + u = h ( θ ), where the forcing term h : R → R is 2 π -periodic and positive. We show that the existence of a periodic solution implies the existence of a positive solution. To this aim we establish connections between this problem and some separation questions of convex analysis.

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来源期刊

Communications in Contemporary Mathematics 数学-数学

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.