Abstract
A new result for the existence of homoclinic orbits is obtained for ordinary p-Laplacian system d dt ( | u ˙ ( t ) | p - 2 u ˙ ( t ) ) + ∇ V ( t , u ( t ) ) = f ( t ) , where p > 1, t ∈ R, u ∈ R n and V ∈ C 1( R × R n , R), V( t, x) = − K( t, x) + W( t, x) is T-periodic with respect to t, T > 0 and f : R → R n is a continuous and bounded function. This result generalizes and improves some known results in the previous literature.
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