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

被引：0
作者：
Abdulkadir Dogan
机构：
[1] Abdullah Gul University,Department of Applied Mathematics, Faculty of Computer Sciences
来源：
Advances in Difference Equations | / 2013卷
关键词：
time scales; boundary value problem; -Laplacian; positive solutions; fixed point theorem;
D O I：
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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.
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