Two-point boundary value problems for planar systems: A lower and upper solutions approach
| Autor: | Alessandro Fonda, Andrea Sfecci, Rodica Toader |
|---|---|
| Přispěvatelé: | Fonda, A., Sfecci, A., Toader, R. |
| Rok vydání: | 2022 |
| Předmět: |
Dirichlet problem
Mean curvature Degree theory Applied Mathematics Mathematical analysis Scalar (physics) Sturm–Liouville boundary value problem Planar Operator (computer programming) Mean curvature equation Sturm–Liouville boundary value problems Upper and lower solutions Ordinary differential equation Boundary value problem Value (mathematics) Analysis Mathematics |
| Zdroj: | Journal of Differential Equations. 308:507-544 |
| ISSN: | 0022-0396 |
| DOI: | 10.1016/j.jde.2021.11.002 |
| Popis: | We extend the theory of lower and upper solutions to planar systems of ordinary differential equations with separated boundary conditions, both in the well-ordered and in the non-well-ordered cases. We are able to deal with general Sturm–Liouville boundary conditions in the well-ordered case, and we analyze the Dirichlet problem in the non-well-ordered case. Our results apply in particular to scalar second order differential equations, including those driven by the mean curvature operator. Higher dimensional systems are also treated, with the same approach. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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