New potential condition on homoclinic orbits for a class of discrete Hamiltonian systems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1687-1847-2014-73.pdf
Reference14 articles.
1. Agarwal RP: Difference Equations and Inequalities: Theory, Methods, and Applications. 2nd edition. Dekker, New York; 2000.
2. Ahlbran CD, Peterson AC: Discrete Hamiltonian Systems: Difference Equations, Continued Fraction and Riccati Equations. Kluwer Academic, Dordrecht; 1996.
3. Deng XQ, Cheng G: Homoclinic orbits for second order discrete Hamiltonian systems with potential changing sign. Acta Appl. Math. 2008, 103: 301–314. 10.1007/s10440-008-9237-z
4. Deng XQ, Cheng G, Shi HP: Subharmonic solutions and homoclinic orbits of second order discrete Hamiltonian systems with potential changing sign. Comput. Math. Appl. 2009, 58: 1198–1206. 10.1016/j.camwa.2009.06.045
5. Ma M, Guo ZM: Homoclinic orbits and subharmonics for nonlinear second order difference equations. Nonlinear Anal. 2007, 67: 1737–1745. 10.1016/j.na.2006.08.014
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1. New Results for Second Order Discrete Hamiltonian Systems;Taiwanese Journal of Mathematics;2017-03-01
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