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
收藏
页码：1065 / 1075
页数：11
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