Abstract

By the aids of variational methods, we study the existence of periodic and subharmonic solutions, and the minimality of their periods, for the nonautonomous first order Hamiltonian system $$J{\dot{u}}(t)+\nabla H(t,u(t))+h(t)=0$$ under some kind of sublinear nonlinearity conditions. Our results are new and generalize and extend some results in the literature.

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