Oscillation of third order differential equation with damping term

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Authors	BARTUŠEK Miroslav DOŠLÁ Zuzana
Year of publication	2015
Type	Article in Periodical
Magazine / Source	Czechoslovak Mathematical Journal
MU Faculty or unit	Faculty of Science
Citation
Web	http://link.springer.com/article/10.1007%2Fs10587-015-0176-3
Doi	http://dx.doi.org/10.1007/s10587-015-0176-3
Field	General mathematics
Keywords	Third order nonlinear differential equation; vanishing at infinity solution; Kneser solution; oscillatory solution
Attached files	art_3A10.1007_2Fs10587-015-0176-3.pdf
Description	We study asymptotic and oscillatory properties of solutions to the third order differential equation with a damping term. We give conditions under which every solution of the equation is either oscillatory or tends to zero. We also study Kneser solutions vanishing at infinity and the existence of oscillatory solutions.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace