Pablo Amster, Colin Rogers
Abstract:
Two-point boundary value problems for a discrete Ermakov-Painle-v\'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.
Submitted December 3, 2025. Published June 8, 2026.
Math Subject Classifications: 39A27, 34B15.
Key Words: Ermakov-Painleve II equation; Difference equations; Dirichlet boundary conditions;
nonlinear Robin conditions.
DOI: 10.58997/ejde.2026.39
Show me the PDF file (339 KB), TEX file for this article.
![]() |
Pablo Amster Departamento de Matemática Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires, and IMAS - CONICET, Ciudad Universitaria, Pabell&oaccute;n I (1428) Buenos Aires, Argentina email: pamster@dm.uba.ar |
|---|---|
| Colin Rogers School of Mathematics and Statistics The University of New South Wales Sydney, NSW 2052, Australia email: c.rogers@unsw.edu.au |
Return to the EJDE web page