Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian

Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian

The paper discusses the existence of positive solutions, dead-core solutions, and pseudo-dead-core solutions of the singular problem (ϕ(u′))′=λf(t,u,u′), u(0)-αu′(0)=A, u(T)+βu′(0)+&#x003b...

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Bibliographic Details
Main Author: Svatoslav Staněk
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2010/262854
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spelling doaj-7d9e2abcb50c46cf874c3f1541abdb892020-11-24T20:51:58ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/262854Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-LaplacianSvatoslav StaněkThe paper discusses the existence of positive solutions, dead-core solutions, and pseudo-dead-core solutions of the singular problem (ϕ(u′))′=λf(t,u,u′), u(0)-αu′(0)=A, u(T)+βu′(0)+γu′(T)=A. Here λ is a positive parameter, α>0, A>0, β≥0, γ≥0, f is singular at u=0, and f may be singular at u'=0. http://dx.doi.org/10.1155/2010/262854
collection DOAJ
language English
format Article
sources DOAJ
author Svatoslav Staněk
spellingShingle Svatoslav Staněk
Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian
Advances in Difference Equations
author_facet Svatoslav Staněk
author_sort Svatoslav Staněk
title Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian
title_short Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian
title_full Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian
title_fullStr Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian
title_full_unstemmed Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian
title_sort positive and dead-core solutions of two-point singular boundary value problems with ϕ-laplacian
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2010-01-01
description The paper discusses the existence of positive solutions, dead-core solutions, and pseudo-dead-core solutions of the singular problem (ϕ(u′))′=λf(t,u,u′), u(0)-αu′(0)=A, u(T)+βu′(0)+γu′(T)=A. Here λ is a positive parameter, α>0, A>0, β≥0, γ≥0, f is singular at u=0, and f may be singular at u'=0.
url http://dx.doi.org/10.1155/2010/262854
work_keys_str_mv AT svatoslavstanamp283k positiveanddeadcoresolutionsoftwopointsingularboundaryvalueproblemswithx03d5laplacian
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