TRIPLE POSITIVE SOLUTIONS OF m-POINT BOUNDARY VALUE PROBLEM ON TIME SCALES WITH p-LAPLACIAN

被引：0
作者：
Dogan, A. [1 ]
机构：
[1] Abdullah Gul Univ, Fac Comp Sci, Dept Appl Math, TR-38039 Kayseri, Turkey
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 02期
关键词：
Time scales; boundary value problem; p-Laplacian; positive solutions; fixed point theorem; INCREASING HOMEOMORPHISM; EXISTENCE; HOMOMORPHISM; BVP;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term f involves a first-order derivative explicitly. Our results are new for the special cases of difference equations and differential equations as well as in the general time scale setting.
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页码：373 / 384
页数：12
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