Periodic Solution of Second-Order Hamiltonian Systems with a Change Sign Potential on Time Scales

This paper is concerned with the second-order Hamiltonian system on time scales 𝕋 of the form uΔΔ(ρ(t))+μb(t)|u(t)|μ−2u(t)+∇¯H(t,u(t))=0, Δ-a.e. t∈[0,T]𝕋 , u(0)−u(T)=uΔ(ρ(0))−uΔ(ρ(T))=0, where 0,T∈𝕋. By using the minimax methods in critical theory, an existence th...

書誌詳細
出版年:	Discrete Dynamics in Nature and Society
主要な著者:	You-Hui Su, Wan-Tong Li
フォーマット:	論文
言語:	英語
出版事項:	Wiley 2009-01-01
オンライン･アクセス:	http://dx.doi.org/10.1155/2009/328479

類似資料

Homoclinic solutions for second-order Hamiltonian systems with periodic potential
著者:: Yiwei Ye
出版事項: (2018-12-01)

On the existence of periodic solutions to second order Hamiltonian systems
著者:: Xiao-Feng Ke, 等
出版事項: (2022-07-01)

Periodic solutions for second-order even and noneven Hamiltonian systems
著者:: Juan Xiao, 等
出版事項: (2024-01-01)

Periodic solutions for second-order Hamiltonian systems with the p-Laplacian
著者:: Weigao Ge, 等
出版事項: (2006-10-01)

Existence of multiple periodic solutions for second-order discrete Hamiltonian systems with partially periodic potentials
著者:: Qin Jiang, 等
出版事項: (2016-11-01)

Variational Approach to Quasi-Periodic Solution of Nonautonomous Second-Order Hamiltonian Systems
著者:: Juhong Kuang
出版事項: (2012-01-01)

Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems
著者:: Peng Zhang, 等
出版事項: (2010-01-01)

Homoclinic solutions for a class of non-periodic second order Hamiltonian systems
著者:: Jian Ding, 等
出版事項: (2010-06-01)

Periodic solutions for a class of second-order Hamiltonian systems of prescribed energy
著者:: Dong-Lun Wu, 等
出版事項: (2015-11-01)

On periodic solutions of nonautonomous second order Hamiltonian systems with $(q,p)$-Laplacian
著者:: Daniel Pasca, 等
出版事項: (2016-11-01)

Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign
著者:: Honghua Bin
出版事項: (2013-01-01)

Multiple solutions of second order Hamiltonian systems
著者:: Gabriele Bonanno, 等
出版事項: (2017-05-01)

Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative
著者:: Wenxiong Chen, 等
出版事項: (2024-01-01)

Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem
著者:: Longsheng Bao, 等
出版事項: (2014-01-01)

Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
著者:: Giuseppe Cordaro
出版事項: (2003-01-01)

Periodic solutions of a class of non-autonomous second-order discrete Hamiltonian systems
著者:: Huiting He, 等
出版事項: (2024-01-01)

Multiplicity of homoclinic solutions for second-order Hamiltonian systems
著者:: Gui Bao, 等
出版事項: (2013-06-01)

Homoclinic solutions for second order Hamiltonian systems with general potentials near the origin
著者:: Qingye Zhang
出版事項: (2013-09-01)

Bifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions
著者:: Francesca Faraci, 等
出版事項: (2008-01-01)

Existence of Positive Solutions for a Singular Second-Order Changing-Sign Differential Equation on Time Scales
著者:: Hui Tian, 等
出版事項: (2022-06-01)

Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales
著者:: Xiaofang Meng, 等
出版事項: (2014-01-01)

Infinitely many homoclinic solutions for perturbed second-order Hamiltonian systems with subquadratic potentials
著者:: Liang Zhang, 等
出版事項: (2020-01-01)

Homoclinic solutions for a class of second-order Hamiltonian systems with locally defined potentials
著者:: Xiang Lv
出版事項: (2017-09-01)

A Note on the Minimal Period Problem for Second Order Hamiltonian Systems
著者:: Huafeng Xiao
出版事項: (2014-01-01)

Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms
著者:: Haiyan Lv, 等
出版事項: (2022-12-01)

Existence and multiplicity of weak quasi-periodic solutions for second order Hamiltonian system with a forcing term
著者:: Xingyong Zhang
出版事項: (2014-12-01)

Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales
著者:: Yan Wang, 等
出版事項: (2013-01-01)

Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems
著者:: Jingli Xie, 等
出版事項: (2013-01-01)

Existence and multiplicity of homoclinic solutions for a second-order Hamiltonian system
著者:: Yiwei Ye
出版事項: (2019-02-01)

Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities
著者:: Kuang Juhong, 等
出版事項: (2022-09-01)

Existence of periodic solutions for sub-linear first-order Hamiltonian systems
著者:: Mohsen Timoumi
出版事項: (2015-05-01)

Identifications of the coefficients of the Taylor expansion (second order) of periodic non-collision solutions for the perturbed planar Keplerian Hamiltonian system
著者:: Riadh Chteoui
出版事項: (2023-05-01)

Homoclinic Solutions for a Class of Second Order Nonautonomous Singular Hamiltonian Systems
著者:: Ziheng Zhang, 等
出版事項: (2014-01-01)

Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems
著者:: Qiang Zheng
出版事項: (2013-01-01)

Existence of One-Signed Solutions of Discrete Second-Order Periodic Boundary Value Problems
著者:: Ruyun Ma, 等
出版事項: (2012-01-01)

Existence of weak quasi-periodic solutions for a second order Hamiltonian system with damped term via a PDE approach
著者:: Xingyong Zhang, 等
出版事項: (2016-11-01)

Periodic Solutions of Some Impulsive Hamiltonian Systems with Convexity Potentials
著者:: Dezhu Chen, 等
出版事項: (2012-01-01)

Existence and Multiplicity of Homoclinic Orbits for Second-Order Hamiltonian Systems with Superquadratic Potential
著者:: Ying Lv, 等
出版事項: (2013-01-01)

Periodic solutions of second-order systems with subquadratic convex potential
著者:: Yiwei Ye
出版事項: (2015-07-01)

Periodic solutions with prescribed minimal period to Hamiltonian systems
著者:: Huafeng Xiao, 等
出版事項: (2020-12-01)