학술논문

On a Dirichlet boundary value problem for an Ermakov-Painlevé I equation. A Hamiltonian EPI system.
Document Type
Article
Source
Electronic Journal of Qualitative Theory of Differential Equations. 2023, p1-14. 14p.
Subject
*BOUNDARY value problems
*EQUATIONS
*HAMILTONIAN systems
Language
ISSN
1417-3875
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. [ABSTRACT FROM AUTHOR]