Affiliation:
1. School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China
2. City College, Kunming University of Science and Technology, Kunming, Yunnan 650051, China
3. Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
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.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis