Nonoscillation of higher order half-linear differential equations

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Title in English	Nonoscillation of higher order half-linear differential equationsElectron.
Authors	DOŠLÝ Ondřej RŮŽIČKA Vojtěch
Year of publication	2015
Type	Article in Periodical
Magazine / Source	Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3623
Field	General mathematics
Keywords	Even-order half-linear differential equation; Wirtinger inequality; half-linear Euler equation
Attached files	p3623.pdf reprint.odf reprint_kmzerqul.odf
Description	We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques. Our results extend nonoscillation criteria known for linear higher order differential equations.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace Matematické struktury