| Date de soumission: | 09-02-2021 |
|---|---|
| Année de Publication: | 2015 |
| Entité/Laboratoire | Autres Laboratoires |
| Document type : | Article |
| Discipline(s) : | Mathématiques |
| Titre | Building infinitely many solutions for some model of sublinear multipoint boundary value problems |
|---|---|
| Auteurs | DEGLA GUY AYMARD [1], |
| Journal: | Abstract and Applied Analysis (AAA). Hindawi Publishing Corporation |
| Catégorie Journal: | Internationale |
| Impact factor: | 1.442 |
| Volume Journal: | 2015 |
| DOI: | http://dx.doi.org/10.1155/2015/732761 |
| Resume | 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. |
| Mots clés | Ordinary differential equation. Multi-point boundary value problems. Sublinear function. Infinitely many solutions. Tietze extension theorem. |
| Pages | 1 - 4 |
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