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Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems

机译：扰动超二次二阶哈密顿系统的多解性

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In this paper, the author proves the existence of infinitely many distinct T-periodic solutions of the perturbed second order Hamiltonian systems q + V'(q) = f(t) under the condition that V is C and superquadratic via minimax methods. We also obtain similar results for general nonautonomous second order Hamiltonian systems and perturbed Lagrangian systems. Keywords: invariance; Asymmetry; A priori growth estimates; multiple periodic solutions.

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作者
Long, Y.;
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年度 1987
页码 p.1-50
总页数 50
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Hamiltonian functions; Perturbations; Asymmetry; Estimates; Invariance; Lagrangian functions; Periodic functions; Solutions(General); Minimax technique;

机译：哈密顿函数;扰动;不对称;估计;不变性;拉格朗日函数;周期函数;解（通用）; minimax技术;

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1. Multiple periodic solutions for superquadratic first-order discrete Hamiltonian systems [J] . Chen SJ, Tang CL Applied mathematics and computation . 2009,第2期

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2. Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems [J] . Xue YF, Tang CL Applied mathematics and computation . 2008,第2期

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3. Multiple solutions for asymptotically quadratic and superquadratic elliptic system of Hamiltonian type [J] . Zhang Wen, Zhang Jian, Zhao Fukun Applied mathematics and computation . 2015,第Null期

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4. Study on the Periodic Solutions to a Superquadratic Discrete Hamiltonian System based on Mechanics [C] . Dawei Sun, Jiarui Liu International Conference on Mechatronics, Applied Mechanics and Energy Engineering . 2014

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5. Multiple periodic solutions for nonautonomous asymptotically linear Hamiltonian systems. [D] . Wang, Chengwen. 2000

机译：非自治渐近线性哈密顿系统的多个周期解。
6. Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance [O] . Anna Gołȩbiewska -1

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7. Multiple solutions of perturbed superquadratic second order Hamiltonian systems [O] . Yi Ming Long 1989

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8. Periodic Solutions of Perturbed Superquadratic Hamiltonian Systems [R] . Long, Y. 1987

机译：扰动超二次Hamilton系统的周期解

Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems

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