Existence of multiple positive solutions for p-Laplacian multipoint boundary value problems on time scales

被引：17

作者：

Dogan, Abdulkadir ^{[1
]}

机构：

[1] Abdullah Gul Univ, Dept Appl Math, Fac Comp Sci, TR-38039 Kayseri, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

time scales; boundary value problem; p-Laplacian; positive solutions; fixed point theorem; SIGN CHANGING NONLINEARITY; M-POINT BVP; DYNAMIC EQUATIONS; INCREASING HOMEOMORPHISM; HOMOMORPHISM;

D O I：

10.1186/1687-1847-2013-238

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive solutions. Moreover, we study existence of positive solutions of a multipoint boundary value problem for an increasing homeomorphism and homomorphism on time scales. By using fixed point index theory, sufficient conditions for the existence of at least two positive solutions are provided. Examples are given to illustrate the results. MSC: 34B15, 34B16, 34B18, 39A10.

引用

页数：23

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