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Antiperiodic Solutions for a Generalized High‐Order (p, q)‐Laplacian Neutral Differential System with Delays in the Critical Case

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  • Yongzhi Liao
  • Tianwei Zhang
  • Yongkun Li

Abstract

By applying the method of coincidence degree, some criteria are established for the existence of antiperiodic solutions for a generalized high‐order (p, q)‐Laplacian neutral differential system with delays (φp((x(t)-cx(t-τ))(k)))(m-k)=F(t,xθ0(t),xθ1(t)′,…,xθk(t)(k),yϑ0(t),yϑ1(t)′,…,yϑl(t)(l)), (φq((y(t)−dy(t-σ)) (l))) (n-l)=G(t,yμ0(t),yμ1(t)′,…,yμl(t)(l),xν0(t),xν1(t)′,…,xνk(t)(k)) in the critical case |c| = |d| = 1. The results of this paper are completely new. Finally, an example is employed to illustrate our results.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:454619
DOI: 10.1155/2013/454619
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