ON SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Dosla, Zuzana ^{[1
]}

Marini, Mauro ^{[2
]}

Matucci, Serena ^{[1
]}

机构：

[1] Univ Florence, Dept Elect & Telecommun, I-50139 Florence, Italy

[2] Masaryk Univ, Dept Math & Stat, Brno 61137, Czech Republic

来源：

MATHEMATICA BOHEMICA | 2012年 / 137卷 / 02期

关键词：

boundary value problem; p-Laplacian; half-linear equation; positive solution; uniqueness; decaying solution; principal solution;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate two boundary value problems for the second order differential equation with p-Laplacian (a(t)Phi(p)(x'))' = b(t)F(x), t is an element of I = [0, infinity), where a, b are continuous positive functions on I. We give necessary and sufficient conditions which guarantee the existence of a unique (or at least one) positive solution, satisfying one of the following two boundary conditions: i) x(0) = c > 0, lim (t ->infinity) x(t) = 0; ii) x'(0) = d < 0, lim (t -> infinity) x(t) = O.

引用

页码：113 / 122

页数：10

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