On the existence of periodic solutions for Liénard type $\phi$-Laplacian equation
DOI:
https://doi.org/10.12775/TMNA.2022.067Keywords
$\phi$-Laplacian equation, periodic solution, continuation lemmaAbstract
In this paper, we study the existence of periodic solutions for a Liénard type $\phi$-Laplacian equation $$ (\phi(x'))'+f(x)x'+g(x)=p(t). $$ We prove a continuation lemma and use it to prove the existence of periodic solutions for above equation when $g$ or $G$ (the primitive of $g$) satisfies some one-sided or bilateral growth conditions and $F$ (the primitive of $f$) satisfies sublinear condition.References
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Copyright (c) 2023 Congmin Yang, Zaihong Wang
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