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arXiv · 2508.08411

A discretisation of the Ermakov-Painlev\'e II equation: Dirichlet and Robin-type boundary value problems

Pablo Amster·Colin Rogers
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Abstract

Two-point boundary value problems for a discrete Ermakov-Painlev\'e 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.

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Pablo Amster, Colin Rogers. 2025-08-11. A discretisation of the Ermakov-Painlev\'e II equation: Dirichlet and Robin-type boundary value problems. https://arxiv.org/abs/2508.08411

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