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http://dx.doi.org/10.4134/BKMS.2012.49.3.455

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

Chen, Taiyong (Department of Mathematics China University of Mining and Technology)
Liu, Wenbin (Department of Mathematics China University of Mining and Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.3, 2012 , pp. 455-463 More about this Journal
Abstract
In this paper, by using degree theory, we consider a kind of higher-order Li$\acute{e}$enard type $p$-Laplacian differential equation as follows $$({\phi}_p(x^{(m)}))^{(m)}+f(x)x^{\prime}+g(t,x)=e(t)$$. 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;
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