共查询到20条相似文献,搜索用时 15 毫秒
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By using the variant fountain theorem, we study the existence of periodic solutions for a class of superquadratic non-autonomous second-order discrete Hamiltonian systems. 相似文献
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In this paper, we study the existence of infinitely many solutions for second-order Hamiltonian systems with impulses. By using an infinitely many critical points theorem and Fountain theorem, we obtain some new criteria for guaranteeing that the impulsive Hamiltonian systems have infinitely many solutions. No symmetric condition on the nonlinear term is assumed. Some examples are also given in this paper to illustrate our main results. 相似文献
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Long Yuhua 《Journal of Difference Equations and Applications》2013,19(10):1499-1518
By making use of minimax theory and geometrical index theory, some results on the existence and multiplicity of subharmonic solutions with prescribed minimal period to discrete Hamiltonian systems are obtained. 相似文献
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Periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay
The existence of periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay is obtained by using stability properties of a bounded solution. 相似文献
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研究一类超线性二阶Hamiltonian系统,且非线性项是奇的,不需要假设Ambros-etti-Rabinowitz的超二次条件,利用对称型山路引理得到无穷多周期解存在性结果. 相似文献
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Zhan Zhou 《Journal of Differential Equations》2010,249(5):1199-5507
In this paper, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of discrete nonlinear periodic systems by using critical point theory in combination with periodic approximations. We prove that it is also necessary in some special cases. 相似文献
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In this paper we study the existence of infinitely many periodic solutions for second-order Hamiltonian systems , where F(t, u) is even in u, and ?F(t, u) is of sublinear growth at infinity and satisfies the Ahmad-Lazer-Paul condition.
相似文献
$$\left\{ {\begin{array}{*{20}c} {\ddot u(t) + A(t)u(t) + \nabla F(t,u(t)) = 0,} \\ {u(0) - u(T) = \dot u(0) - \dot u(T) = 0,} \\ \end{array} } \right.$$
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We consider a class of asymptotically linear nonautonomous second-order Hamiltonian systems. Using the Saddle Point Theorem, we obtain the existence result, which extends some previously known results. 相似文献
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Jeffrey J. DaCunha 《Journal of Differential Equations》2011,251(11):2987-3027
In this paper, we study periodic linear systems on periodic time scales which include not only discrete and continuous dynamical systems but also systems with a mixture of discrete and continuous parts (e.g. hybrid dynamical systems). We develop a comprehensive Floquet theory including Lyapunov transformations and their various stability preserving properties, a unified Floquet theorem which establishes a canonical Floquet decomposition on time scales in terms of the generalized exponential function, and use these results to study homogeneous as well as nonhomogeneous periodic problems. Furthermore, we explore the connection between Floquet multipliers and Floquet exponents via monodromy operators in this general setting and establish a spectral mapping theorem on time scales. Finally, we show this unified Floquet theory has the desirable property that stability characteristics of the original system can be determined via placement of an associated (but time varying) system?s poles in the complex plane. We include several examples to show the utility of this theory. 相似文献
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Homoclinic solutions for second order impulsive Hamiltonian systems with small forcing terms 下载免费PDF全文
In this paper, we establish some new sufficient conditions on the existence of homoclinic solution for a class of second‐order impulsive Hamiltonian systems. By using the mountain pass theorem, we demonstrate that the limit of a 2kT‐periodic approximation solution is a homoclinic solution of our problem. We also present some examples to illustrate the applications of our main results. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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Ziheng Zhang 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(9):4125-4130
In this paper we consider the existence of homoclinic solutions for the following second-order non-autonomous Hamiltonian system:
(HS) 相似文献