Existence and uniqueness of solutions to a super-linear three-point boundary-value problem
In previous papers, degree theory for nonlinear operators has been used to study a class of three-point boundary-value problems for second order ordinary differential equations having a super-linear term, and existence of a sequence of solutions has been shown. In this paper, we forgo the previous a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2005-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/19/abstr.html |
| _version_ | 1818228818640371712 |
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| author | Chaitan P. Gupta Bruce Calvert |
| author_facet | Chaitan P. Gupta Bruce Calvert |
| author_sort | Chaitan P. Gupta |
| collection | DOAJ |
| description | In previous papers, degree theory for nonlinear operators has been used to study a class of three-point boundary-value problems for second order ordinary differential equations having a super-linear term, and existence of a sequence of solutions has been shown. In this paper, we forgo the previous approach for the shooting method, which gives a drastically simpler existence theory, with less assumptions, and easy calculation of solutions. We even obtain uniqueness in the simplest case. |
| first_indexed | 2024-12-12T10:08:45Z |
| format | Article |
| id | doaj.art-a8bda3db0620465c8860f782b35419b8 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T10:08:45Z |
| publishDate | 2005-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a8bda3db0620465c8860f782b35419b82022-12-22T00:27:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-02-01200519121Existence and uniqueness of solutions to a super-linear three-point boundary-value problemChaitan P. GuptaBruce CalvertIn previous papers, degree theory for nonlinear operators has been used to study a class of three-point boundary-value problems for second order ordinary differential equations having a super-linear term, and existence of a sequence of solutions has been shown. In this paper, we forgo the previous approach for the shooting method, which gives a drastically simpler existence theory, with less assumptions, and easy calculation of solutions. We even obtain uniqueness in the simplest case.http://ejde.math.txstate.edu/Volumes/2005/19/abstr.htmlSuper-linearthree-point boundary-value problem. |
| spellingShingle | Chaitan P. Gupta Bruce Calvert Existence and uniqueness of solutions to a super-linear three-point boundary-value problem Electronic Journal of Differential Equations Super-linear three-point boundary-value problem. |
| title | Existence and uniqueness of solutions to a super-linear three-point boundary-value problem |
| title_full | Existence and uniqueness of solutions to a super-linear three-point boundary-value problem |
| title_fullStr | Existence and uniqueness of solutions to a super-linear three-point boundary-value problem |
| title_full_unstemmed | Existence and uniqueness of solutions to a super-linear three-point boundary-value problem |
| title_short | Existence and uniqueness of solutions to a super-linear three-point boundary-value problem |
| title_sort | existence and uniqueness of solutions to a super linear three point boundary value problem |
| topic | Super-linear three-point boundary-value problem. |
| url | http://ejde.math.txstate.edu/Volumes/2005/19/abstr.html |
| work_keys_str_mv | AT chaitanpgupta existenceanduniquenessofsolutionstoasuperlinearthreepointboundaryvalueproblem AT brucecalvert existenceanduniquenessofsolutionstoasuperlinearthreepointboundaryvalueproblem |