Infinitely many positive solutions for an iterative system of singular BVP on time scales
In this paper, we consider an iterative system of singular two-point boundary value problems on time scales. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of infinitely many positive solutions. Finall...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de La Frontera
2022-04-01
|
| Series: | Cubo |
| Subjects: | |
| Online Access: | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2952 |
| _version_ | 1811296713144532992 |
|---|---|
| author | K. Rajendra Prasad Mahammad Khuddush K. V. Vidyasagar |
| author_facet | K. Rajendra Prasad Mahammad Khuddush K. V. Vidyasagar |
| author_sort | K. Rajendra Prasad |
| collection | DOAJ |
| description | In this paper, we consider an iterative system of singular two-point boundary value problems on time scales. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of infinitely many positive solutions. Finally, we provide an example to check the validity of our obtained results. |
| first_indexed | 2024-04-13T05:53:22Z |
| format | Article |
| id | doaj.art-c1113f79f1bd441e996cd00a34433590 |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-04-13T05:53:22Z |
| publishDate | 2022-04-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-c1113f79f1bd441e996cd00a344335902022-12-22T02:59:42ZengUniversidad de La FronteraCubo0716-77760719-06462022-04-01241213510.4067/S0719-06462022000100021Infinitely many positive solutions for an iterative system of singular BVP on time scalesK. Rajendra Prasad0https://orcid.org/0000-0001-8162-1391Mahammad Khuddush1https://orcid.org/0000-0002-1236-8334K. V. Vidyasagar2https://orcid.org/0000-0003-4532-8176Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India.Department of Mathematics, Dr. Lankapalli Bullayya College, Resapuvanipalem, Visakhapatnam, 530013, India.Department of Mathematics, S. V. L. N. S. Government Degree College, Bheemunipatnam, Bheemili, 531163, India.In this paper, we consider an iterative system of singular two-point boundary value problems on time scales. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of infinitely many positive solutions. Finally, we provide an example to check the validity of our obtained results.https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2952iterative systemtime scalessingularityconekrasnoselskii’s fixed point theorempositive solutions |
| spellingShingle | K. Rajendra Prasad Mahammad Khuddush K. V. Vidyasagar Infinitely many positive solutions for an iterative system of singular BVP on time scales Cubo iterative system time scales singularity cone krasnoselskii’s fixed point theorem positive solutions |
| title | Infinitely many positive solutions for an iterative system of singular BVP on time scales |
| title_full | Infinitely many positive solutions for an iterative system of singular BVP on time scales |
| title_fullStr | Infinitely many positive solutions for an iterative system of singular BVP on time scales |
| title_full_unstemmed | Infinitely many positive solutions for an iterative system of singular BVP on time scales |
| title_short | Infinitely many positive solutions for an iterative system of singular BVP on time scales |
| title_sort | infinitely many positive solutions for an iterative system of singular bvp on time scales |
| topic | iterative system time scales singularity cone krasnoselskii’s fixed point theorem positive solutions |
| url | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2952 |
| work_keys_str_mv | AT krajendraprasad infinitelymanypositivesolutionsforaniterativesystemofsingularbvpontimescales AT mahammadkhuddush infinitelymanypositivesolutionsforaniterativesystemofsingularbvpontimescales AT kvvidyasagar infinitelymanypositivesolutionsforaniterativesystemofsingularbvpontimescales |