Minimal and maximal solutions of fourth-order nonlinear difference equations

Warning

This publication doesn't include Institute of Computer Science. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	DOŠLÁ Zuzana KREJČOVÁ Jana MARINI Mauro
Year of publication	2015
Type	Article in Periodical
Magazine / Source	Journal of Difference Equations and Applications
MU Faculty or unit	Faculty of Science
Citation
web	http://www.tandfonline.com/doi/abs/10.1080/10236198.2014.999673#.VdR2o9dLtOo
Doi	https://doi.org/10.1080/10236198.2014.999673
Field	General mathematics
Keywords	Fourth-order nonlinear difference equations; positive solution; asymptotic behaviour; existence of minimal solution; existence of maximal solution
Description	Positive solutions of fourth-order nonlinear difference equations with a deviating argument are investigated. We present a classification of nonoscillatory solutions which is based on their asymptotic behaviour and we give necessary and sufficient conditions for the existence of the so-called minimal and maximal solutions.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace