Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities
In this article, we show the existence of multiple positive solutions for integro-differential equations with one-dimensional p-Laplacian operator, sign changing nonlinearities, and integral boundary conditions. By using the Schauder fixed point theorem and the Krasnosel'skii fixed point th...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2012-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/31/abstr.html |
| _version_ | 1811297483609866240 |
|---|---|
| author | Mei Jia Pingyou Wang |
| author_facet | Mei Jia Pingyou Wang |
| author_sort | Mei Jia |
| collection | DOAJ |
| description | In this article, we show the existence of multiple positive solutions for integro-differential equations with one-dimensional p-Laplacian operator, sign changing nonlinearities, and integral boundary conditions. By using the Schauder fixed point theorem and the Krasnosel'skii fixed point theorem, we obtain sufficient conditions for the existence of at least two positive solutions. |
| first_indexed | 2024-04-13T06:04:54Z |
| format | Article |
| id | doaj.art-397a199fe87140118343e9da8275f0ce |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T06:04:54Z |
| publishDate | 2012-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-397a199fe87140118343e9da8275f0ce2022-12-22T02:59:17ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-02-01201231,113Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearitiesMei JiaPingyou WangIn this article, we show the existence of multiple positive solutions for integro-differential equations with one-dimensional p-Laplacian operator, sign changing nonlinearities, and integral boundary conditions. By using the Schauder fixed point theorem and the Krasnosel'skii fixed point theorem, we obtain sufficient conditions for the existence of at least two positive solutions.http://ejde.math.txstate.edu/Volumes/2012/31/abstr.htmlBoundary value problemsp-Laplacian operatorintegral boundary conditionsfixed point theoremmultiple positive solutions |
| spellingShingle | Mei Jia Pingyou Wang Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities Electronic Journal of Differential Equations Boundary value problems p-Laplacian operator integral boundary conditions fixed point theorem multiple positive solutions |
| title | Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities |
| title_full | Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities |
| title_fullStr | Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities |
| title_full_unstemmed | Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities |
| title_short | Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities |
| title_sort | multiple positive solutions for integro differential equations with integral boundary conditions and sign changing nonlinearities |
| topic | Boundary value problems p-Laplacian operator integral boundary conditions fixed point theorem multiple positive solutions |
| url | http://ejde.math.txstate.edu/Volumes/2012/31/abstr.html |
| work_keys_str_mv | AT meijia multiplepositivesolutionsforintegrodifferentialequationswithintegralboundaryconditionsandsignchangingnonlinearities AT pingyouwang multiplepositivesolutionsforintegrodifferentialequationswithintegralboundaryconditionsandsignchangingnonlinearities |