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MULTIPLE SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH PERIODIC NONLINEARITY AND STRONG RESONANCE
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作者 刘嘉荃 《Acta Mathematica Scientia》 SCIE CSCD 1991年第4期417-423,共7页
I. Introduction In this paper we are looking for solutions of the following Hamiltonian system of second order: where x= (x1, x2) and V satisfies (V. 1) V: R×R2→R is a C1-function, 1-periodic In t, (V.2) V... I. Introduction In this paper we are looking for solutions of the following Hamiltonian system of second order: where x= (x1, x2) and V satisfies (V. 1) V: R×R2→R is a C1-function, 1-periodic In t, (V.2) V is periodic in x1 with the period T>0, (V. 3) V→O, Vx→O as |x2|→∞, uniformly in (t, x1). 展开更多
关键词 MULTIPLE SOLUTIONS FOR HAMILTONIAN systems WITH PERIODIC nonlinearITY AND STRONG RESONANCE
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