DENUMERABLY MANY POSITIVE SOLUTIONS FOR ITERATIVE SYSTEM OF BOUNDARY VALUE PROBLEMS WITH N-SINGULARITIES ON TIME SCALES

被引：0

作者：

Prasad, K. R. ^{[1
]}

Khuddush, Mahammad ^{[1
]}

Vidyasagar, K. V. ^{[2
]}

机构：

[1] Andhra Univ, Coll Sci & Technol, Dept Appl Math, Visakhapatnam 530003, India

[2] Govt Degree Coll Women Marripalem, Koyyuru Mandal 531116, Visakhapatnam, India

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 03期

关键词：

Iterative system; time scale; singularity; homeomorphism; homomorphism; cone; Krasnoselskii's fixed point theorem; positive solutions; DYNAMIC EQUATIONS;

D O I：

10.46793/KgJMat2303.369P

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a iterative system of two-point boundary value problems with integral boundary conditions having n singularities and involve an increasing homeomorphism, positive homomorphism operator. By applying Ho center dot lder's inequality and Krasnoselskii's cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of denumerably many positive solutions. Finally we provide an example to check validity of our obtained results.

引用

页码：369 / 385

页数：17

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