Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian
Upper and lower solutions theories are established for a kind of m-point impulsive boundary value problems with p-Laplacian. By using such techniques and the Schauder fixed point theorem, the existence of solutions and positive solutions is obtained. Nagumo conditions play an important role in the n...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/783509 |
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| _version_ | 1832553761234485248 |
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| author | Junfang Zhao Jianfeng Zhao Weigao Ge |
| author_facet | Junfang Zhao Jianfeng Zhao Weigao Ge |
| author_sort | Junfang Zhao |
| collection | DOAJ |
| description | Upper and lower solutions theories are established for a kind of m-point impulsive boundary value problems with p-Laplacian. By using such techniques and the Schauder fixed point theorem, the existence of solutions and positive solutions is obtained. Nagumo conditions play an important role in the nonlinear term involved with the first-order derivatives. |
| format | Article |
| id | doaj-art-80fdf132229c4ff9b16bb4cd1c569697 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-80fdf132229c4ff9b16bb4cd1c5696972025-02-03T05:53:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/783509783509Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-LaplacianJunfang Zhao0Jianfeng Zhao1Weigao Ge2School of Science, China University of Geosciences, Beijing 100083, ChinaCollege of Science, Hebei University of Engineering, Handan 056038, ChinaDepartment of Mathematics, Beijing Institute of Technology, Beijing 100081, ChinaUpper and lower solutions theories are established for a kind of m-point impulsive boundary value problems with p-Laplacian. By using such techniques and the Schauder fixed point theorem, the existence of solutions and positive solutions is obtained. Nagumo conditions play an important role in the nonlinear term involved with the first-order derivatives.http://dx.doi.org/10.1155/2013/783509 |
| spellingShingle | Junfang Zhao Jianfeng Zhao Weigao Ge Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian Discrete Dynamics in Nature and Society |
| title | Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian |
| title_full | Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian |
| title_fullStr | Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian |
| title_full_unstemmed | Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian |
| title_short | Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian |
| title_sort | upper and lower solutions for m point impulsive bvp with one dimensional p laplacian |
| url | http://dx.doi.org/10.1155/2013/783509 |
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