摘要：By using the critical point theory, some existence criteria are established which guarantee that the difference p-Laplacian systems of the form Δ ( Δ u ( n − 1 ) p − 2 Δ u ( n − 1 ) ) − a ( n ) u ( n ) q − p u ( n ) + ∇ W ( n , u ( n ) ) = 0 have at least one or infinitely many homoclinic solutions, where 1 2 , n ∈ Z , u ∈ R N , a : Z → ( 0 , + ∞ ) , and W : Z × R N → R are not periodic in n. MSC:34C37, 35A15, 37J45, 47J30.
关键词：homoclinic solutions ; variational methods ; difference p -Laplacian systems
