On periodic solutions of second-order differential equations with attractive-repulsive singularities

被引：81

作者：

Hakl, Robert ^{[1
]}

Torres, Pedro J. ^{[2
]}

机构：

[1] Inst Math AS CR, Brno 61662, Czech Republic

[2] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 01期

关键词：

Second-order ordinary differential equation; Singular equation; Periodic solution; Positive solution; EXISTENCE;

D O I：

10.1016/j.jde.2009.07.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient conditions for the existence of a solution to the problem u ''(t) = g(t/)/u(mu)(t) - h(t)/u(lambda)(t) + f(t) for a.e.t is an element of [0, omega]. u(0) = u(omega), u'(0) = u'(omega) are established. (C) 2009 Elsevier Inc. All rights reserved.

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页码：111 / 126

页数：16

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