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Even homoclinic orbits for super quadratic Hamiltonian systems. (English) Zbl 1201.37096
The authors investigate the existence of even homoclinic orbits for the second-order Hamiltonian system $$\ddot{u} +V_u(t,u)=0$$, where $$V(t,u)=-K(t,u)+W(t,u)\in C^1({\mathbb R}\times{\mathbb R}^n,{\mathbb R})$$, $$K$$ is less quadratic and $$W$$ is super quadratic in $$u$$ at infinity by the solutions of a sequence of nil-boundary-value problems.

##### MSC:
 37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
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##### References:
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