Abstract

In this paper, by using degree theory, we consider a kind of higher-order Li<TEX>$\acute{e}$</TEX>enard type <TEX>$p$</TEX>-Laplacian differential equation as follows <TEX>$$({\phi}_p(x^{(m)}))^{(m)}+f(x)x^{\prime}+g(t,x)=e(t)$$</TEX>. Some new results on the existence of anti-periodic solutions for above equation are obtained.

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