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SOME RESULTS ON THE MINIMAL PERIOD PROBLEM OF NONCONVEX SECOND ORDER HAMILTONIAN SYSTEMS

SOME RESULTS ON THE MINIMAL PERIOD PROBLEM OF NONCONVEX SECOND ORDER HAMILTONIAN SYSTEMS
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摘要 The authors study the existence of periodic solutions with prescribed minimal period for su-perquadratic and asymptotically linear autonomous second order Hamiltonian systems withoutany convexity assumption. Using the variational methods, an estimate on the minimal periodof the corresponding nonconstant periodic solution of the above-mentioned system is obtained.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第1期83-92,共10页 数学年刊(B辑英文版)
关键词 Minimal period solutions Second order Hamiltonian systems Iterationinequality Variational method 最小周期解 二阶哈密尔顿系统 变分方法 迭代不等式
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