Abstract
In this paper we study the existence of nontrivial homoclinic solutions for a second order differential equation of the form q ̈ + A q ̇ − L ( t ) q + W q ( t , q ) = 0 . Here, we assume that A is a antisymmetric constant matrix, L ( t ) is a continuous positive definite symmetric matrix valued function depending periodically on t and assume that potential W is asymptotically quadratic as | q | → 0 and | q | → ∞ .
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