SADDLE POINT CHARACTERIZATION OF SUBHARMONIC SOLUTIONS OF NONAUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS

Zhao-Hong Sun, Yong-Qin Ni, Chuan-Yong Chen

Abstract


In the present paper, the non-autonomous second order Hamiltonian systems

\adot{u}(t) - \nabla F(t, u(t)) = 0 a. e. t \in R

are studied and some existence results of subharmonic solutions with saddle point character are obtained by the critical point reduction method.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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