Oscillatory solutions of nonlinear fourth order differential equations with a middle term

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Authors	BARTUŠEK Miroslav DOŠLÁ Zuzana
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Fourth order nonlinear differential equation; oscillatory solution; oscillation
Attached files	dosla-EJQTDE.pdf
Description	We study oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator x^{(4)} + x'' and completes the results stated for super-linear and sub-linear case. Oscillation results are new also for the linear equation.
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace