New results on periodic solutions for a p-Laplacian Lienard equation with a deviating argument

• Autores: Ma De-xiang, Ge Weigao, Chen Xuegang
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 32, Nº 4, 2006, págs. 1227-1239
• Idioma: inglés
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• Resumen

  • The existence of periodic solutions for Lienard equation with a deviating has been studied extensively. Generally, restricting conditions are imposed on the value of the deviating function. In this paper, we study the existence of periodic solutions for the p-laplacian Lienard equation with a deviating argument. We give no restriction on the deviating function, which is the significance of the paper. Our result is based on a new lemma which makes it possible to use Mawhin's continuation theorem as a tool. The methods we used to estimate a priori bounds on periodic solutions are also new.