Existence of one homoclinic orbit for second order Hamiltonian systems involving certain hypotheses of monotonicity on the nonlinearities

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.11.007 ◽

2019 ◽

Vol 47 ◽

pp. 348-363

Author(s):

P. Cerda ◽

E. Toon ◽

P. Ubilla

Keyword(s):

Hamiltonian Systems ◽

Homoclinic Orbit ◽

Second Order ◽

Second Order Hamiltonian Systems

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Non-autonomous second order Hamiltonian systems

Journal of Differential Equations ◽

10.1016/j.jde.2014.03.016 ◽

2014 ◽

Vol 257 (2) ◽

pp. 351-373 ◽

Author(s):

John Pipan ◽

Martin Schechter

Keyword(s):

Hamiltonian Systems ◽

Second Order ◽

Second Order Hamiltonian Systems

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Periodic solutions of second order Hamiltonian systems

Dynamical Systems ◽

10.1080/14689367.2013.781133 ◽

2013 ◽

Vol 28 (2) ◽

pp. 214-221 ◽

Author(s):

Jaume Llibre ◽

Amar Makhlouf

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

Second Order ◽

Second Order Hamiltonian Systems

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A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103218 ◽

2021 ◽

Vol 58 ◽

pp. 103218

Author(s):

Zhiyong Wang ◽

Jihui Zhang ◽

Mengxi Chen

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

Second Order ◽

Unified Approach ◽

Second Order Hamiltonian Systems

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Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2014.13.75 ◽

2014 ◽

Vol 13 (1) ◽

pp. 75-95 ◽

Author(s):

Xingyong Zhang ◽

◽

Xianhua Tang ◽

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

Existence Results ◽

Second Order ◽

Second Order Hamiltonian Systems

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PERIODIC SOLUTIONS FOR A KIND OF SECOND-ORDER HAMILTONIAN SYSTEMS

Wavelet Active Media Technology and Information Processing ◽

10.1142/9789812772763_0092 ◽

2006 ◽

Author(s):

ZHULIAN TAO ◽

YANFANG TIAN ◽

QI DAN

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

Second Order ◽

Second Order Hamiltonian Systems

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Multiplicity of periodic orbits for a class of second order Hamiltonian systems with superlinear and sublinear nonlinearity

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2011.06.005 ◽

2011 ◽

Vol 44 (10) ◽

pp. 811-816

Author(s):

Bitao Cheng

Keyword(s):

Periodic Orbits ◽

Hamiltonian Systems ◽

Second Order ◽

Second Order Hamiltonian Systems

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On periodic solutions of non-autonomous second order hamiltonian systems

Applications of Mathematics ◽

10.1007/s10492-010-0013-9 ◽

2010 ◽

Vol 55 (5) ◽

pp. 373-384 ◽

Author(s):

Xingyong Zhang ◽

Yinggao Zhou

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

Second Order ◽

Second Order Hamiltonian Systems

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The existence of periodic solutions of non-autonomous second-order Hamiltonian systems

Nonlinear Analysis ◽

10.1016/j.na.2011.04.060 ◽

2011 ◽

Vol 74 (14) ◽

pp. 4862-4867 ◽

Author(s):

Nurbek Aizmahin ◽

Tianqing An

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

Second Order ◽

Second Order Hamiltonian Systems ◽

Existence Of Periodic Solutions

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Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity

Advances in Difference Equations ◽

10.1186/1687-1847-2014-114 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Guanwei Chen

Keyword(s):

Hamiltonian Systems ◽

Homoclinic Orbits ◽

Second Order ◽

Asymptotically Linear ◽

Second Order Hamiltonian Systems

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Multiplicity and concentration of homoclinic solutions for some second order Hamiltonian systems

Nonlinear Analysis ◽

10.1016/j.na.2014.11.009 ◽

2015 ◽

Vol 114 ◽

pp. 105-115 ◽

Author(s):

Juntao Sun ◽

Tsung-fang Wu

Keyword(s):

Hamiltonian Systems ◽

Second Order ◽

Homoclinic Solutions ◽

Second Order Hamiltonian Systems

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