Minimal and maximal solutions of fourth-order nonlinear difference equations

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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	http://dx.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