Asymptotic boundary value problems for discrete dynamics

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Authors	MARINI Mauro MATUCCI Serena ŘEHÁK Pavel
Year of publication	2007
Type	Article in Proceedings
Conference	Difference equations, special functions and orthogonal polynomials, Eds. S. Elaydi, J Cushing, R. Lasser, V. Papageorgiou, A. Ruffing, W. Van Assche
MU Faculty or unit	Faculty of Education
Citation
Field	General mathematics
Keywords	fixed point theorem; existence theorem; asymptotic behavior; nonlinear discrete system
Description	The existence of nonoscillatory solutions with prescribed asymptotic behavior is studied for a nonlinear system of two coupled second order nonlinear equations. A general existence theorem for functional boundary value problems, stated by the authors in a previous work, is employed and the main advantages of this approach are illustrated.
Related projects:	Difference Equations and Dynamic Equations on Time Scales. Linear Hamiltonian dynamic systems and half-linear dynamic equations