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
收藏
页码：1 / 9
页数：9
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