A discretisation of the Ermakov-Painlevé II equation: Dirichlet and Robin-type boundary value problems

Fuente: arXiv
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Autores principales: Amster, Pablo, Rogers, Colin
Formato: Preprint
Publicado: 2025
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author Amster, Pablo
Rogers, Colin
author_facet Amster, Pablo
Rogers, Colin
contents Two-point boundary value problems for a discrete Ermakov-Painlevé II equation are analysed by means of topological methods. In addition, an alternative variational approach is detailed. Existence of solutions is established for appropriate choice of parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2508_08411
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A discretisation of the Ermakov-Painlevé II equation: Dirichlet and Robin-type boundary value problems
Amster, Pablo
Rogers, Colin
Classical Analysis and ODEs
39A27, 34B15
Two-point boundary value problems for a discrete Ermakov-Painlevé II equation are analysed by means of topological methods. In addition, an alternative variational approach is detailed. Existence of solutions is established for appropriate choice of parameters.
title A discretisation of the Ermakov-Painlevé II equation: Dirichlet and Robin-type boundary value problems
topic Classical Analysis and ODEs
39A27, 34B15
url https://arxiv.org/abs/2508.08411