Positive solutions of three-point boundary value problems
In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p-Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii＇s fixed point...
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| Published in | Applied mathematics and mechanics Vol. 29; no. 6; pp. 817 - 823 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Shanghai University Press
01.06.2008
Fundamental Teaching Department, Chein-Shung Institute of Technology, Taicang 215400, Jiangsu Provine, P. R. China%School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097, P. R. China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0253-4827 1573-2754 |
| DOI | 10.1007/s10483-008-0613-y |
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| Abstract | In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p-Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii＇s fixed point theorem and the coincidence degree. |
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| AbstractList | In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p-Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii＇s fixed point theorem and the coincidence degree. In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p-Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii's fixed point theorem and the coincidence degree. In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p -Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii’s fixed point theorem and the coincidence degree. O175.8; In this paper,we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p-Laplacian.We then study existence of solutions when the problems are in resonance cases.The proposed approach is based on the Krasnoselskii's fixed point theorem and the coincidence degree. |
| Author | 缪烨红 张吉慧 |
| AuthorAffiliation | Fundamental Teaching Department, Chein-Shung Institute of Technology Taicang 215400, Jiangsu Provine, P. R. China School of Mathematics and Computer Sciences, Nanjing Normal University Nanjing 210097, P. R. China |
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| Cites_doi | 10.1016/S0362-546X(97)00360-X 10.1016/j.camwa.2003.08.011 10.1016/j.jmaa.2003.11.014 10.1016/S0895-7177(01)00155-8 10.1016/S0096-3003(01)00240-5 10.1006/jmaa.2001.7742 10.1016/S0893-9659(98)00164-5 |
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| Copyright | Shanghai University and Springer-Verlag GmbH 2008 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | coincidence degree theorem O175.8 34B15 positive solution three-point boundary value problems fixed point theorem |
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| References | Wong (CR4) 1999; 12 Ma (CR6) 1999; 34 Feng (CR5) 1997; 30 Agarwal, Lü, O’Regan (CR2) 2002; 266 Bai, Fang (CR9) 2004; 291 Lü, O’Regan, Zhong (CR3) 2002; 133 Liu (CR7) 2004; 48 Mawhin, Fitzpatrick, Martelli, Mawhin, Nussbaum (CR8) 1997 Yang (CR1) 2002; 35 F. H. Wong (613_CR4) 1999; 12 R. P. Agarwal (613_CR2) 2002; 266 W. Y. Feng (613_CR5) 1997; 30 X. J. Yang (613_CR1) 2002; 35 J. Mawhin (613_CR8) 1997 B. Liu (613_CR7) 2004; 48 C. Z. Bai (613_CR9) 2004; 291 R. Y. Ma (613_CR6) 1999; 34 H. S. Lü (613_CR3) 2002; 133 |
| References_xml | – volume: 30 start-page: 5369 issue: 8 year: 1997 end-page: 5374 ident: CR5 article-title: On an m-point boundary value problem[J] publication-title: Nonlinear Anal TMA doi: 10.1016/S0362-546X(97)00360-X – volume: 48 start-page: 913 issue: 5–6 year: 2004 end-page: 925 ident: CR7 article-title: Positive solution of singular three-point boundary value problems for the one-dimensional p-Laplacian[J] publication-title: Comput Math Appl doi: 10.1016/j.camwa.2003.08.011 – volume: 291 start-page: 538 issue: 2 year: 2004 end-page: 549 ident: CR9 article-title: Existence of positive solutions for three-point boundary value problems at resonance[J] publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2003.11.014 – volume: 35 start-page: 129 issue: 1–2 year: 2002 end-page: 135 ident: CR1 article-title: Positive Solutions for the one dimensional -Laplacian[J] publication-title: Mathematical and Computer Modelling doi: 10.1016/S0895-7177(01)00155-8 – volume: 34 start-page: 1 issue: 1 year: 1999 end-page: 8 ident: CR6 article-title: Positive solutions of a nonlinear three-point boundary value problem[J] publication-title: Electronic J Differential Equations – volume: 133 start-page: 407 issue: 2–3 year: 2002 end-page: 422 ident: CR3 article-title: Multiple positive solutions for the one-dimensional singular p-Laplacian[J] publication-title: Appl Math Compute doi: 10.1016/S0096-3003(01)00240-5 – year: 1997 ident: CR8 article-title: Topological degree and boundary value problems for nonlinear differential equations[M] publication-title: Topological Methods for Ordinary Differential Equations, Lecture Notes in Mathematics – volume: 266 start-page: 384 issue: 2 year: 2002 end-page: 400 ident: CR2 article-title: Eigenvalues and the one-dimensional -Laplacian[J] publication-title: J Math Anal Appl doi: 10.1006/jmaa.2001.7742 – volume: 12 start-page: 11 issue: 3 year: 1999 end-page: 17 ident: CR4 article-title: Existence of positive solutions for -Laplacian boundary value problems[J] publication-title: Appl Math Letters doi: 10.1016/S0893-9659(98)00164-5 – volume: 34 start-page: 1 issue: 1 year: 1999 ident: 613_CR6 publication-title: Electronic J Differential Equations – volume: 35 start-page: 129 issue: 1–2 year: 2002 ident: 613_CR1 publication-title: Mathematical and Computer Modelling doi: 10.1016/S0895-7177(01)00155-8 – volume: 266 start-page: 384 issue: 2 year: 2002 ident: 613_CR2 publication-title: J Math Anal Appl doi: 10.1006/jmaa.2001.7742 – volume: 30 start-page: 5369 issue: 8 year: 1997 ident: 613_CR5 publication-title: Nonlinear Anal TMA doi: 10.1016/S0362-546X(97)00360-X – volume: 12 start-page: 11 issue: 3 year: 1999 ident: 613_CR4 publication-title: Appl Math Letters doi: 10.1016/S0893-9659(98)00164-5 – volume: 133 start-page: 407 issue: 2–3 year: 2002 ident: 613_CR3 publication-title: Appl Math Compute – volume: 48 start-page: 913 issue: 5–6 year: 2004 ident: 613_CR7 publication-title: Comput Math Appl doi: 10.1016/j.camwa.2003.08.011 – volume-title: Topological Methods for Ordinary Differential Equations, Lecture Notes in Mathematics year: 1997 ident: 613_CR8 – volume: 291 start-page: 538 issue: 2 year: 2004 ident: 613_CR9 publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2003.11.014 |
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| Title | Positive solutions of three-point boundary value problems |
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