Existence of positive solutions for nonlinear multipoint p-Laplacian dynamic equations on time scales

被引：0

作者：

Dogan, Abdulkadir ^{[1
]}

机构：

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

来源：

TURKISH JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 03期

关键词：

Time scales; boundary value problem; p-Laplacian; positive solutions; Fixed point theorem; SIGN CHANGING NONLINEARITY; BOUNDARY-VALUE-PROBLEMS; M-POINT BVP; INCREASING HOMEOMORPHISM; HOMOMORPHISM;

D O I：

10.3906/mat-1912-97

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence of positive solutions for nonlinear multipoint boundary value problems for p-Laplacian dynamic equations on time scales with the delta derivative of the nonlinear term. Sufficient assumptions are obtained for existence of at least twin or arbitrary even positive solutions to some boundary value problems. Our results are achieved by appealing to the fixed point theorems of Avery-Henderson. As an application, an example to demonstrate our results is given.

引用

页码：676 / 697

页数：22

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