Bounded solutions of nonlinear second order ordinary differential equations

Alessandro Fonda; Fabio Zanolin

doi:10.3934/dcds.1998.4.91

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1998, Volume 4, Issue 1: 91-98. Doi: 10.3934/dcds.1998.4.91

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Bounded solutions of nonlinear second order ordinary differential equations

Alessandro Fonda^1, and
Fabio Zanolin^2,

1.
Dip. Scienze Matematiche, Università di Trieste, P.le Europa 1, 34127 Trieste
2.
Dip. Matematica e Informatica, Università di Udine, via delle Scienze 208, 33100 Udine

Received: December 31, 1996

Published: December 1997

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Abstract

We prove the existence of bounded solutions to second order differential equations of Liénard type under asymptotic conditions generalizing recent results of Ahmad and Ortega.

Keywords:

Second order ordinary differential equations,
bounded solutions.

Mathematics Subject Classification: 34C25.

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