Abstract
We first prove the existence of periodic solutions to systems of the form \[ (\phi_{p}(u^{\prime}))^{\prime}+\frac{d}{dt}(\nabla F(u))+\nabla G(u)=e(t). \] We then study the asymptotic behavior of all solutions to such systems, and give sufficient conditions for uniform ultimate boundedness of solutions.
Citation
M. García-Huidobro. R. Manásevich. J.R. Ward. "Periodic solutions and asymptotic behavior in Liénard systems with p-Laplacian operators." Differential Integral Equations 22 (9/10) 979 - 998, September/October 2009. https://doi.org/10.57262/die/1356019518
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