On periodic boundary value problem for the equation u"=f (t, u, u′) with one-sided growth restrictions on f

被引：16

作者：

Kiguradze, I

Stanek, S

机构：

[1] Georgian Acad Sci, A Razmadze Math Inst, GE-380093 Tbilisi, Georgia

[2] Palacky Univ, Fac Sci, Dept Math Anal, Olomouc, Czech Republic

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 07期

关键词：

second-order nonlinear differential equation; periodic boundary value problem; upper and lower functions; upper and lower solutions; one-sided growth restrictions;

D O I：

10.1016/S0362-546X(00)00235-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The periodic boundary value problem for the second-order nonlinear differential equation was analyzed with one-sided growth restrictions. Sufficient conditions for the solvability of boundary value problem formulated by upper and lower functions were given. The proofs of the existence results were based on a priori estimates of solutions for second-order differential inequalities with periodic boundary conditions.

引用

页码：1065 / 1075

页数：11

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