Boundary value problems for nonlinear impulsive Hamiltonian systems

• Autores: Gusein Sh. Guseinov
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 259, Nº 2, 2014, págs. 780-789
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.06.034
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• Resumen

  • We study two point boundary value problems for nonlinear impulsive Hamiltonian systems.

    Spectral analysis of the corresponding linear impulsive Hamiltonian system and a fixed point theorem are employed to obtain an existence and uniqueness result for solutions of the nonlinear problem. Two examples are given in which the main condition is made explicit.