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In this paper, by using degree theory, we consider a kind of higher-order Liénard type p-Laplacian differential equation as follows (φ{symbol}p(x (m))) (m) + f(x)x′ + g(t; x) = e(t): Some new results on the existence of anti-periodic solutions for above equation are obtained. © 2012 The Korean Mathematical Society.

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