Asymptotics for higher order differential equations with a middle term.

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Authors	BARTUŠEK Miroslav CECCHI Mariella DOŠLÁ Zuzana MARINI Mauro
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Journal of Mathematical Analysis and Applications
MU Faculty or unit	Faculty of Science
Citation
Doi	https://doi.org/10.1016/j.jmaa.2011.10.059
Field	General mathematics
Keywords	higher order nonlinear equations;oscillatory solutions;bounded solutions;asymptotic linear solutions
Description	Higher order nonlinear differential equations with the middle term as a perturbation of certain linear equations are studied. Using an iterative method, we show that for every solution of nonlinear equation there exists a solution of linear equation such that their difference have bounded variation and tend to zero. Asymptotics of solutions and the existence of monotone solutions are examined, too.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace