Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems
We show that the sublinearity hypothesis of some well-known existence results on multipoint Boundary Value Problems (in short BVPs) may allow the existence of infinitely many solutions by using Tietze extension theorem. This is a qualitative result which is of concern in Applied Analysis and can mot...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/732761 |
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| _version_ | 1832552149350875136 |
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| author | Guy Aymard Degla |
| author_facet | Guy Aymard Degla |
| author_sort | Guy Aymard Degla |
| collection | DOAJ |
| description | We show that the sublinearity hypothesis of some well-known existence results on multipoint Boundary Value Problems (in short BVPs) may allow the existence of infinitely many solutions by using Tietze extension theorem. This is a qualitative result which is of concern in Applied Analysis and can motivate more research on the conditions that ascertain the existence of multiple solutions to sublinear BVPs. The idea of the proof is of independent interest since it shows a constructive way to have ordinary differential equations with multiple solutions. |
| format | Article |
| id | doaj-art-35773906e54944949c52a6c4edee5066 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-35773906e54944949c52a6c4edee50662025-02-03T05:59:21ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/732761732761Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value ProblemsGuy Aymard Degla0The Abdus Salam International Centre for Theoretical Physics (ICTP), 34151 Trieste, ItalyWe show that the sublinearity hypothesis of some well-known existence results on multipoint Boundary Value Problems (in short BVPs) may allow the existence of infinitely many solutions by using Tietze extension theorem. This is a qualitative result which is of concern in Applied Analysis and can motivate more research on the conditions that ascertain the existence of multiple solutions to sublinear BVPs. The idea of the proof is of independent interest since it shows a constructive way to have ordinary differential equations with multiple solutions.http://dx.doi.org/10.1155/2015/732761 |
| spellingShingle | Guy Aymard Degla Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems Abstract and Applied Analysis |
| title | Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems |
| title_full | Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems |
| title_fullStr | Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems |
| title_full_unstemmed | Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems |
| title_short | Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems |
| title_sort | building infinitely many solutions for some model of sublinear multipoint boundary value problems |
| url | http://dx.doi.org/10.1155/2015/732761 |
| work_keys_str_mv | AT guyaymarddegla buildinginfinitelymanysolutionsforsomemodelofsublinearmultipointboundaryvalueproblems |