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)+;...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/262854 |
| _version_ | 1818491897688096768 |
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| author | Svatoslav Staněk |
| author_facet | Svatoslav Staněk |
| author_sort | Svatoslav Staněk |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-10T17:36:37Z |
| format | Article |
| id | doaj.art-7d9e2abcb50c46cf874c3f1541abdb89 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T17:36:37Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-7d9e2abcb50c46cf874c3f1541abdb892022-12-22T01:39:30ZengSpringerOpenAdvances 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 |
| spellingShingle | Svatoslav Staněk Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian Advances in Difference Equations |
| title | 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_short | 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 x03d5 laplacian |
| url | http://dx.doi.org/10.1155/2010/262854 |
| work_keys_str_mv | AT svatoslavstanamp283k positiveanddeadcoresolutionsoftwopointsingularboundaryvalueproblemswithx03d5laplacian |