IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Non-asymptotic Lazer-Leach type conditions for a nonlinear oscillator
Autor/es:
AMSTER, PABLO; DE NÁPOLI, PABLO
Revista:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Editorial:
AMER INST MATHEMATICAL SCIENCES
Referencias:
Año: 2011 vol. 29 p. 757 - 767
ISSN:
1078-0947
Resumen:
A well-known result by Lazer and Leach establishes the existence of periodic solutions for the resonant periodic problem u´´ + m^2 u + g(u)=p(t) under appropriate conditions on g. In this article we prove that, as it occurs in the case m=0, the condition on g may be relaxed. In particular, no specific behavior at infinity is assumed.
