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Using a homologically link theorem in variational theory and iterationinequalities of Maslov-type index, we prove the existences of a sequence ofsubharmonic solutions for one type of sub-quadratic non-autonomous Hamiltoniansystems. Moreover, we also study the minimal period problem of some autonomousHamiltonian systems with sub-quadratic condition.

Subharmonic solutions of first order Hamiltonian systems with subquadratic condition