ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIÉENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATOR

Title & Authors
ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIÉENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATOR
Chen, Taiyong; Liu, Wenbin;

Abstract
In this paper, by using degree theory, we consider a kind of higher-order Li$\small{\acute{e}}$enard type $\small{p}$-Laplacian differential equation as follows $\small{({\phi}_p(x^{(m)}))^{(m)}+f(x)x^{\prime}+g(t,x)=e(t)}$. Some new results on the existence of anti-periodic solutions for above equation are obtained.
Keywords
anti-periodic solution;higher-order differential equation;p-Laplacian operator;Leray-Schauder principle;
Language
English
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