On the solvability of a boundary value problem for p-Laplacian differential equations

被引：1

作者：

Kelevedjiev, Petio ^{[1
]}

Bojerikov, Silvestar ^{[1
]}

机构：

[1] Tech Univ Sofia, Branch Sliven, 59 Burgasko Shousse Blvd, Sliven 8800, Bulgaria

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 08期

关键词：

boundary value problem; second order differential equation; p-Laplacian; existence; sign conditions; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.14232/ejqtde.2017.1.8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using barrier strip conditions, we study the existence of C-2 [0, 1]-solutions of the boundary value problem (phi(p) (x'))' = f (t, x, x '), x (0) = A, x'(1) = B, where phi(p) (s) = s vertical bar s vertical bar (p-2), p > 2. The question of the existence of positive monotone solutions is also affected.

引用

页码：1 / 9

页数：9

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