摘要：In this paper, we investigate the existence of a set with 2 k T $2kT$ -periodic solutions for n-dimensional p-Laplacian neutral differential systems with a time-varying delay ( φ p ( u ( t ) − C u ( t − τ ) ) ′ ) ′ + d d t ∇ F ( u ( t ) ) + G ( u ( t − γ ( t ) ) ) = e k ( t ) $(\varphi_{p}(u(t)-Cu(t-\tau ))')'+ \frac{d}{dt}\nabla F(u(t))+G(u(t-\gamma (t)))=e_{k}(t)$ based on the coincidence degree theory of Mawhin. Combining this with the conclusion about uniform convergence and limit, we obtain the corresponding results on the existence of homoclinic solutions.
