摘要：By means of critical point theory and some analysis methods, the existence of homoclinic solutions for the p-Laplacian system with delay, d d t [ u ′ ( t ) p − 2 u ′ ( t ) ] = ∇ x G ( t , u ( t ) , u ( t + τ ) ) + ∇ y G ( t − τ , u ( t − τ ) , u ( t ) ) + e ( t ) , is investigated. Some new results are obtained. The interesting thing is that the function G ( t , x , y ) is only required to satisfy a local condition. Furthermore, the results are all explicitly related to the value of delay τ. MSC:34C37, 58E05, 70H05.
关键词：critical point theory ; homoclinic solution ; periodic solution ; functional differential system
