摘要：By using an extension of Mawhin’s continuation theorem and some analysis methods, the existence of a set with 2 k T -periodic for a n-dimensional neutral Duffing differential systems, ( u ( t ) − C u ( t − τ ) ) ″ + β ( t ) x ′ ( t ) + g ( u ( t − γ ( t ) ) ) = p ( t ) , is studied. Some new results on the existence of homoclinic solutions is obtained as a limit of a certain subsequence of the above set. Meanwhile, C = [ c i j ] n × n is a constant symmetrical matrix and β ( t ) is allowed to change sign.
