%0 Journal Article
%T Necessary and Sufficient Conditions for Oscillations of the Generalized Liénard Systems
%A Hongtao Zhang
%A Xiaolin Liu
%A Ping Yan
%J Applied Mathematics
%P 391-405
%@ 2152-7393
%D 2024
%I Scientific Research Publishing
%R 10.4236/am.2024.156023
%X In this paper, we study the second-order nonlinear differential systems of Li&#233;nard-type <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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. Necessary and sufficient conditions to ensure that all nontrivial solutions are oscillatory are established by using a new nonlinear integral inequality. Our results substantially extend and improve previous results known in the literature.
%K Generalized Li&#233
%K nard System
%K Nonlinear Integral Inequality
%K Oscillation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=134066