On a Dirichlet boundary value problem for an Ermakov-Painlevé I equation : a Hamiltonian EPI system

Amster Pablo and Rogers Colin: On a Dirichlet boundary value problem for an Ermakov-Painlevé I equation : a Hamiltonian EPI system. (2023)

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Abstract

Here, a proto-type Ermakov–Painlevé I equation is introduced and a homogeneous Dirichlet-type boundary value problem analysed. In addition, a novel Ermakov– Painlevé I system is set down which is reducible by an involutory transformation to the autonomous Ermakov–Ray–Reid system augmented by a single component Ermakov– Painlevé I equation. Hamiltonian such systems are delimited.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2023
Number: 23
ISSN: 1417-3875
Number of Pages: 14
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2023.1.23
Uncontrolled Keywords: Dirichlet-határérték-probléma, Hamilton-rendszer
Additional Information: Bibliogr.: p. 11-14. ; összefoglalás angol nyelven
Date Deposited: 2023. Nov. 16. 12:15
Last Modified: 2023. Nov. 16. 12:15
URI: http://acta.bibl.u-szeged.hu/id/eprint/82273

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