Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel
Abstract The existence of a solution for a second-order p-Laplacian boundary value problem at resonance with two dimensional kernel will be considered in this paper. A semi-projector, the Ge and Ren extension of Mawhin’s coincidence degree theory, and algebraic processes will be used to establish ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01415-3 |
| _version_ | 1828953743365767168 |
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| author | O. F. Imaga S. A. Iyase |
| author_facet | O. F. Imaga S. A. Iyase |
| author_sort | O. F. Imaga |
| collection | DOAJ |
| description | Abstract The existence of a solution for a second-order p-Laplacian boundary value problem at resonance with two dimensional kernel will be considered in this paper. A semi-projector, the Ge and Ren extension of Mawhin’s coincidence degree theory, and algebraic processes will be used to establish existence results, while an example will be given to validate our result. |
| first_indexed | 2024-12-14T07:16:55Z |
| format | Article |
| id | doaj.art-15eb5b39000b475e9f6aea6de6756ab8 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-14T07:16:55Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-15eb5b39000b475e9f6aea6de6756ab82022-12-21T23:11:41ZengSpringerOpenBoundary Value Problems1687-27702020-06-012020111110.1186/s13661-020-01415-3Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernelO. F. Imaga0S. A. Iyase1Department of Mathematics, Covenant UniversityDepartment of Mathematics, Covenant UniversityAbstract The existence of a solution for a second-order p-Laplacian boundary value problem at resonance with two dimensional kernel will be considered in this paper. A semi-projector, the Ge and Ren extension of Mawhin’s coincidence degree theory, and algebraic processes will be used to establish existence results, while an example will be given to validate our result.http://link.springer.com/article/10.1186/s13661-020-01415-3Coincidence degreeHalf-lineIntegral boundary value problemm-Pointp-LaplacianResonance |
| spellingShingle | O. F. Imaga S. A. Iyase Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel Boundary Value Problems Coincidence degree Half-line Integral boundary value problem m-Point p-Laplacian Resonance |
| title | Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel |
| title_full | Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel |
| title_fullStr | Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel |
| title_full_unstemmed | Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel |
| title_short | Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel |
| title_sort | existence of solution for a resonant p laplacian second order m point boundary value problem on the half line with two dimensional kernel |
| topic | Coincidence degree Half-line Integral boundary value problem m-Point p-Laplacian Resonance |
| url | http://link.springer.com/article/10.1186/s13661-020-01415-3 |
| work_keys_str_mv | AT ofimaga existenceofsolutionforaresonantplaplaciansecondordermpointboundaryvalueproblemonthehalflinewithtwodimensionalkernel AT saiyase existenceofsolutionforaresonantplaplaciansecondordermpointboundaryvalueproblemonthehalflinewithtwodimensionalkernel |