Existence of solutions for a one dimensional p-laplacian on time-scales

被引：76

作者：

Anderson, D

Avery, R

Henderson, J ^{[1
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

[2] Concordia Coll, Dept Math, Moorhead, MN 56562 USA

[3] Dakota State Univ, Coll Nat Sci, Madison, SD 57042 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2004年 / 10卷 / 10期

关键词：

fixed-point theorems; delta-nabla dynamic equation; one-dimensional p-Laplacian; multiple solutions; cone;

D O I：

10.1080/10236190410001731416

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of at least one positive solution to the time-scale, delta-nabla dynamic equation, (g(u(Delta)))(del) + c(t)f(u) = 0, with boundary conditions, u(a) - B-o (u(Delta)(nu)) = 0 and u(Delta)(b) = 0. Here, g(z) = \z\(p-2)z for p > 1, nu is an element of (a,b), f and c are left-dense continuous and B-o is a function "bounded" by two linear rays.

引用

页码：889 / 896

页数：8

共 35 条

[1] Eigenvalues and the one-dimensional p-Laplacian [J].