Publication details

Nonoscillatory solutions of a second-order nonlinear discrete system

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Year of publication 2007
Type Article in Periodical
Magazine / Source Applied Mathematics and Computation
MU Faculty or unit

Faculty of Education

Field General mathematics
Keywords coupled nonlinear difference systems; nonoscillatory solutions; fixed point theorems; functional difference equations
Description A complete characterization for nonoscillatory solutions of a coupled nonlinear difference system is presented. Nonoscillatory solutions are classified into several classes according to their limit behavior, and necessary and sufficient conditions for the existence in each of these classes are established. The multiplicity of solutions is also examined and explicit asymptotic formulas are derived. Possible generalizations and comparisons of our results with existing ones are discussed as well.
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