Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions
- 1 January 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 110 (3-4) , 183-198
- https://doi.org/10.1017/s0308210500022198
Abstract
This paper is devoted to the existence of periodic solutions for the scalar forced Lienard differential equationThe key assumptions relate the asymptotic behaviour as x →± ∞of g(t; x)/x to the “critical values” of the positively 1-homogeneous problemNo condition on f, except continuity, is assumed. Our approach is based on Leray–Schauder degree techniques and a priori estimates.Keywords
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