Homoclinic Orbits for Second Order Discrete Hamiltonian Systems with Potential Changing Sign

• Autores: Xiaoqing Deng, Gong Cheng
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 103, Nº. 3, 2008, págs. 301-314
• Idioma: inglés
• DOI: 10.1007/s10440-008-9237-z
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• Resumen

  • In this paper, a class of second order discrete Hamiltonian systems without any periodicity assumptions are considered. Base on the critical point theory, some sufficient conditions for the existence of homoclinic orbits are obtained. The results obtained extend the results in [2006] by relaxing the assumptions on the sign of the potential.