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.
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页码：369 / 385
页数：17
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