Oscillation for higher order differential equations with a middle term

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Authors	BARTUŠEK Miroslav DOŠLÁ Zuzana MARINI Mauro
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Boundary Value Problems
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.boundaryvalueproblems.com/content/2014/1/48
Doi	http://dx.doi.org/10.1186/1687-2770-2014-48
Field	General mathematics
Keywords	Higher order nonlinear differential equation; middle term; oscillation;
Description	We study the existence of bounded oscillatory solutions for a higher order differential equation, considered as a perturbation of an associated linear equation. Jointly with this, we study the nonexistence of solutions vanishing at infinity and, as an application, we obtain in the linear case an asymptotic equivalency criterion.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace