Nontrivial Solutions of Superquadratic Hamiltonian Systems with Lagrangian Boundary Conditions and t

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In this paper, the authors study the existence of nontrivial solutions for the Hamiltonian systems z(t) = J▽H(t, z(t)) with Lagrangian boundary conditions, where (H)(t,z) = 1/2((B)(t)z,z) + (H)(t,z), (B)(t) is a semipositive symmetric continuous matrix and (H) satisfies a superquadratic condition at infinity. We also obtain a result about the L-index.
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