Existence of infinitely many homoclinic orbits in Hamiltonian systems

Xianhua Tang, Xiaoyan Lin

Type: Article

Publication Date: 2011-09-26

Citations: 40

DOI: https://doi.org/10.1017/s0308210509001346

View Publication

Locations

Proceedings of the Royal Society of Edinburgh Section A Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems	2010	Xiaoyan Lin Xianhua Tang
+	New existence of homoclinic orbits for a second-order Hamiltonian system	2011	Peng Chen Xianhua Tang
+	Infinitely many homoclinic solutions for nonautonomous <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-Laplacian Hamiltonian systems	2012	Peng Chen Xianhua Tang Ravi P. Agarwal
+	Existence of homoclinic solutions for some second-order discrete Hamiltonian systems	2012	Peng Chen Xianhua Tang
+	Infinitely many homoclinic solutions for the second-order discrete $p$-Laplacian systems	2013	Peng Chen Xianhua Tang
+ PDF Chat	Infinitely many homoclinic solutions for a second‐order Hamiltonian system	2015	Xianhua Tang
+	Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials	2009	Jicheng Wei Jun Wang
+	Homoclinic solutions for a class of second-order Hamiltonian systems	2009	Xianhua Tang Xiaoyan Lin
+ PDF Chat	Infinitely homoclinic solutions in discrete hamiltonian systems without coercive conditions	2020	Fathi Khelifi
+	The Existence of Homoclinic Orbits of a Class of p-Laplacian Systems	2010	Xiao Li
+	Local super-quadratic conditions on homoclinic solutions for a second-order Hamiltonian system	2017	Xiaoping Wang
+ PDF Chat	Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems	2014	Huiwen Chen Zhimin He
+ PDF Chat	Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems	2016	Xiang Lv
+	Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems	2015	Xiang Lv
+ PDF Chat	Existence of homoclinic orbits for second order Hamiltonian systems without (AR) condition	2011	Li-Li Wan Chun‐Lei Tang
+ PDF Chat	Existence of homoclinic orbits for second order Hamiltonian systems without (AR) condition	2009	Li-Li Wan
+	Multiple Homoclinics in a non-periodic Hamiltonian System	2010	Jian Ding Guizhen Feng Fu-Bao Zhang
+ PDF Chat	Homoclinic solutions for a class of second order Hamiltonian systems	2015	Qingye Zhang
+	Existence of homoclinic solutions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-Laplacian Hamiltonian systems on Orlicz sequence spaces	2011	Peng Chen Xianhua Tang Ravi P. Agarwal
+	Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric condition	2015	Zhimin He Huiwen Chen

Works That Cite This (40)

Action	Title	Year	Authors
+	Infinitely many homoclinic solutions for perturbed second-order Hamiltonian systems with subquadratic potentials	2020	Liang Zhang Guanwei Chen
+ PDF Chat	INFINITELY MANY HOMOCLINIC ORBITS OF SECOND-ORDER $p$-LAPLACIAN SYSTEMS	2013	Xiaoyan Lin Xianhua Tang
+	On Ground-State Homoclinic Orbits of a Class of Superquadratic Damped Vibration Systems	2018	Mohsen Timoumi
+	Homoclinic orbits for a class of second-order Hamiltonian systems with concave-convex nonlinearities	2018	Dong‐Lun Wu Chun‐Lei Tang Xing-Ping Wu
+	Existence and multiplicity of solutions for second-order impulsive differential equations with Dirichlet problems	2012	Peng Chen Xianhua Tang
+	Homoclinic Solutions for p(t)-Laplacian–Hamiltonian Systems Without Coercive Conditions	2015	Ziheng Zhang Tian Xiang Rong Yuan
+	Existence and nonuniqueness of homoclinic solutions for second-order Hamiltonian systems with mixed nonlinearities	2015	Dong‐Lun Wu Chun‐Lei Tang Xing-Ping Wu
+	HOMOCLINIC SOLUTIONS FOR SUBQUADRATIC HAMILTONIAN SYSTEMS WITHOUT COERCIVE CONDITIONS	2014	Ziheng Zhang Tian Xiang Rong Yuan
+ PDF Chat	Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Nonlinear Second-Order Nonautonomous Systems in a Weighted Sobolev Space	2015	Qiongfen Zhang Yuan Li
+	New existence of homoclinic orbits for a second-order Hamiltonian system	2011	Peng Chen Xianhua Tang

Works Cited by This (0)

Action	Title	Year	Authors