共查询到20条相似文献,搜索用时 31 毫秒
1.
In this paper we establish some new sufficient conditions on the existence of homoclinic solutions for a class of second-order Hamiltonian systems without a coercive potential. The proof is based on a new critical point theorem in combination with periodic approximation. 相似文献
2.
Guihua FeiSoon-Kyu Kim Tixiang Wang 《Journal of Mathematical Analysis and Applications》2002,267(2):665-678
In this paper, we study the existence of periodic solutions for classical Hamiltonian systems without the Palais-Smale condition. We prove that the information of the potential function contained in a finite domain is sufficient for the existence of periodic solutions. Moreover, we establish the existence of infinitely many periodic solutions without any symmetric condition on the potential function V. 相似文献
3.
In this paper, an existence theorem is obtained for the periodic solutions of second-order discrete Hamiltonian systems with potential indefinite in sign by Linking theorem in the critical point theory. 相似文献
4.
Some existence theorems are obtained for periodic solutions of a class of non-autonomous second order Hamiltonian systems with local superquadratic potential, by making use of the generalized mountain pass theorem. 相似文献
5.
二阶离散Hamiltonian系统的多重周期解 总被引:2,自引:0,他引:2
利用变分原理和Clark定理,研究了带参数的二阶离散Hamiltonian系统的多重周期解,得到了此类方程周期解个数的下界估计. 相似文献
6.
Using the theory of existence of periodic solutions of Hamiltonian systems, it is shown that many periodic solutions of differential
delay equations can be yielded from many families of periodic solutions of the coupled generalized Hamiltonian systems. Some
sufficient conditions on the existence of periodic solutions of differential delay equations are obtained. As a corollary
of our results, the conjecture of Kaplan-Yorke on the search for periodic solutions for certain special classes of scalar
differential delay equations is shown to be true when
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Project supported by the National Natural Science Foundation of China (Grant No. 19731003) and Science Foundation of Yunnan
Province. 相似文献
7.
In this paper, an existence theorem is obtained for periodic solutions of a second-order discrete Hamiltonian system with a change of sign in the potential by the minimax methods in the critical point theory. 相似文献
8.
1.IntrodnctionandMainResultsInthispaper,weconsidertheminimalperiodproblemforthefollowingautonomoussecondorderHamiltoniansystemswhereNisapositiveinteger.andV'denotesitsgradient.Inthetextofthispaper,wedenotebya.bandtheusualinnerproductandnorminRNrespec... 相似文献
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10.
In this paper we consider a class of super-linear second order Hamiltonian systems. We use Morse theory to obtain the existence and multiplicity of rotating periodic solutions, which might be periodic, subharmonic or quasi-periodic ones. 相似文献
11.
我们利用Ambrosetti-Rabinowitz对称形式的山路引理证明了给定周期T的对称超二次二阶哈密尔顿系统具有无穷多个反T/2-周期且奇的周期解. 相似文献
12.
Chun-Lei Tang 《Journal of Mathematical Analysis and Applications》2004,292(2):506-516
An existence theorem is obtained for periodic solutions of nonautonomous second order Hamiltonian systems with a change sign potential by the minimax methods in critical point theory. 相似文献
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14.
By using mountain pass theorem and local link theorem, some existence theorems are obtained for periodic solutions of second order non-autonomous Hamiltonian systems under local superquadratic condition and other suitable conditions. 相似文献
15.
本文研究一类含非定线性项的二阶Hamilton系统多周期解问题.在位势函数满足超二次齐次条件下,利用临界点理论中对称型越山定理,证明了系统存在无穷多个给定周期的周期解. 相似文献
16.
证明了一类超二次的自治的Lagrange系统存在非平凡的周期解,并且如果相应的位势函数还是偶函数,那么这个系统拥有无穷多个周期解。 相似文献
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18.
I. I. Korol' 《Ukrainian Mathematical Journal》2005,57(4):583-599
We study the problem of the existence of periodic solutions of two-dimensional linear inhomogeneous periodic systems of differential
equations for which the corresponding homogeneous system is Hamiltonian. We propose a new numerical-analytic algorithm for
the investigation of the problem of the existence of periodic solutions of two-dimensional nonlinear differential systems
with Hamiltonian linear part and their construction. The results obtained are generalized to systems of higher orders.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 4, pp. 483–495, April, 2005. 相似文献
19.
Jiang Meiyue 《数学学报(英文版)》1993,9(2):129-138
In this paper, we use the variational method to study the existence of periodic and generalized periodic solutions of planar
second order Hamiltonian systems when a singular potential is present. The results obtained are applied to the study of generalized
periodic solutions of the Restricted Three-Body Problem and the Planarn-Body Problem. 相似文献
20.
Explicit exact periodic wave solutions and their limit forms for a long waves-short waves model
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A long waves-short waves model is studied by using the approach of dynamical systems. The sufficient conditions to guarantee the existence of solitary wave, kink and anti-kink waves, and periodic wave in different regions of the parametric space are given. All possible explicit exact parametric representations of above traveling waves are presented. When the energy of Hamiltonian system corresponding to this model varies, we also show the convergence of the periodic wave solutions, such as the periodic wave solutions converge to the solitary wave solutions,
kink and anti-kink wave solutions, and periodic wave solutions, respectively. 相似文献