科研之友
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摘要
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 (phi(p)((x(t) - cx(t - tau))((k))))((m-k)) = F(t, x(theta 0(t)), x'(theta t(t)), ... ,x(theta k(t))((k)), y(partial derivative 0(t)), y'(partial derivative 1(t)), ... , y(partial derivative l(t))((l))), (phi(q)((y(t) - dy(t - sigma))((l))))((n-l)) = G(t, y(mu 0(t)), y'(mu 1(t)), ... , y(mu l(t))((l)), x(nu 0(t)), x'(nu 1(t)), ... , x(nu k(t))((k))) in the critical case vertical bar c vertical bar| = vertical bar d vertical bar = 1. The results of this paper are completely new. Finally, an example is employed to illustrate our results.
