Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operator
This article concerns the existence, multiplicity of positive solutions for the integral boundary-value problem with $phi$-Laplacian, $$displaylines{ ig(phi(u'(t))ig)'+f(t,u(t),u'(t))=0,quad tin[0,1],cr u(0)=int_0^1 u(r)g(r),dr,quad u(1)=int_0^1u(r)h(r),dr, }$$ where phi is an...
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Texas State University
2012-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/219/abstr.html |
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doaj-fa3ebaaad3f24318b917307af17d66f02020-11-25T01:19:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-11-012012219,19Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operatorYonghong DingThis article concerns the existence, multiplicity of positive solutions for the integral boundary-value problem with $phi$-Laplacian, $$displaylines{ ig(phi(u'(t))ig)'+f(t,u(t),u'(t))=0,quad tin[0,1],cr u(0)=int_0^1 u(r)g(r),dr,quad u(1)=int_0^1u(r)h(r),dr, }$$ where phi is an odd, increasing homeomorphism from R to R. Using a monotone iterative technique, we obtain the existence of positive solutions for this problem, and present iterative schemes for approximating the solutions. http://ejde.math.txstate.edu/Volumes/2012/219/abstr.htmlphi-Laplacianmonotone iterativeconepositive solutions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yonghong Ding |
| spellingShingle |
Yonghong Ding Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operator Electronic Journal of Differential Equations phi-Laplacian monotone iterative cone positive solutions |
| author_facet |
Yonghong Ding |
| author_sort |
Yonghong Ding |
| title |
Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operator |
| title_short |
Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operator |
| title_full |
Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operator |
| title_fullStr |
Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operator |
| title_full_unstemmed |
Monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-Laplacian operator |
| title_sort |
monotone iterative method for obtaining positive solutions of integral boundary-value problems with phi-laplacian operator |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2012-11-01 |
| description |
This article concerns the existence, multiplicity of positive solutions for the integral boundary-value problem with $phi$-Laplacian, $$displaylines{ ig(phi(u'(t))ig)'+f(t,u(t),u'(t))=0,quad tin[0,1],cr u(0)=int_0^1 u(r)g(r),dr,quad u(1)=int_0^1u(r)h(r),dr, }$$ where phi is an odd, increasing homeomorphism from R to R. Using a monotone iterative technique, we obtain the existence of positive solutions for this problem, and present iterative schemes for approximating the solutions. |
| topic |
phi-Laplacian monotone iterative cone positive solutions |
| url |
http://ejde.math.txstate.edu/Volumes/2012/219/abstr.html |
| work_keys_str_mv |
AT yonghongding monotoneiterativemethodforobtainingpositivesolutionsofintegralboundaryvalueproblemswithphilaplacianoperator |
| _version_ |
1725139386036649984 |