Home > Articles > Published articles > Periodic solutions for periodic second-order differential equations with variable potentials |
Date: | 2018 |
Abstract: | We provide sufficient conditions for the existence of periodic solutions of the second-order differential equation with variable potentials -(px')'(t) - r(t)p(t)x'(t) + q(t)x(t) = f(t, x(t)), where the functions p(t) > 0, q(t), r(t) and f(t, x) are C and T-periodic in the variable t. |
Grants: | Ministerio de Ciencia e Innovación MTM2009-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999 |
Note: | Altres ajuts: ICREA Academia and FEDER-UNAB10-4E-378 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Periodic orbit ; Third-order differential equation ; Quadratic system ; Averaging theory |
Published in: | Journal of Applied Analysis, Vol. 24, Issue 2 (December 2018) , p. 127-137, ISSN 1869-6082 |
Postprint 17 p, 727.3 KB |