Unbounded Solutions for Functional Problems on the Half-Line
This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green’s functions, and Schauder fixed point theorem, the existence of at lea...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/8987374 |
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| _version_ | 1850208312108253184 |
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| author | Hugo Carrasco Feliz Minhós |
| author_facet | Hugo Carrasco Feliz Minhós |
| author_sort | Hugo Carrasco |
| collection | DOAJ |
| description | This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green’s functions, and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results. |
| format | Article |
| id | doaj-art-98f1fe84dcf24f22abcff47b10d0d6e3 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-98f1fe84dcf24f22abcff47b10d0d6e32025-08-20T02:10:16ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/89873748987374Unbounded Solutions for Functional Problems on the Half-LineHugo Carrasco0Feliz Minhós1Centro de Investigação em Matemática e Aplicações (CIMA), Universidade de Évora, Rua Romão Ramalho 59, 7000-671 Évora, PortugalCentro de Investigação em Matemática e Aplicações (CIMA), Universidade de Évora, Rua Romão Ramalho 59, 7000-671 Évora, PortugalThis paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green’s functions, and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.http://dx.doi.org/10.1155/2016/8987374 |
| spellingShingle | Hugo Carrasco Feliz Minhós Unbounded Solutions for Functional Problems on the Half-Line Abstract and Applied Analysis |
| title | Unbounded Solutions for Functional Problems on the Half-Line |
| title_full | Unbounded Solutions for Functional Problems on the Half-Line |
| title_fullStr | Unbounded Solutions for Functional Problems on the Half-Line |
| title_full_unstemmed | Unbounded Solutions for Functional Problems on the Half-Line |
| title_short | Unbounded Solutions for Functional Problems on the Half-Line |
| title_sort | unbounded solutions for functional problems on the half line |
| url | http://dx.doi.org/10.1155/2016/8987374 |
| work_keys_str_mv | AT hugocarrasco unboundedsolutionsforfunctionalproblemsonthehalfline AT felizminhos unboundedsolutionsforfunctionalproblemsonthehalfline |