Non-autonomous second order Hamiltonian systems

Non-autonomous second order Hamiltonian systems
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DOI:
10.1016/j.jde.2014.03.016
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发表时间:
2014-07
影响因子:
2.4
通讯作者:
J. Pipan;M. Schechter
J. Pipan;M. Schechter
中科院分区:
数学2区
文献类型:
--
作者:
J. Pipan;M. Schechter

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研究了一类含有变动能项的二阶非自治动力系统周期解的存在性。我们的假设平衡了动能和势能之间的相互作用,两者都不占主导地位。我们研究次线性问题和非常数解的存在性。
We study the existence of periodic solutions for a second order non-autonomous dynamical system containing variable kinetic energy terms. Our assumptions balance the interaction between the kinetic energy and the potential energy with neither one dominating the other. We study sublinear problems and the existence of non-constant solutions.