Half-linear oscillation criteria: Perturbation in term involving derivative

Došlý,  Ondřej; Fišnarová, Simona

Half-linear oscillation criteria: Perturbation in term involving derivative

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Authors	DOŠLÝ Ondřej FIŠNAROVÁ Simona
Year of publication	2010
Type	Article in Periodical
Magazine / Source	Nonlinear Anal.
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.elsevier.com/locate/na
Field	General mathematics
Keywords	Half-linear differential equation; oscillation and nonoscillation criteria; Riccati technique; Perturbation principle; Linearization method
Description	We consider a nonoscillatory half-linear differential equation and we study oscillatory properties of its certain perturbation. We use the Riccati technique and relationship between investigated equation and a certain associated linear equation. The results are applied to the perturbed Euler-type equation.
Related projects:	Mathematical structures and their physical applications Oscillatory and asymptotic properties of solutions of differential equations Diferenční rovnice a dynamické rovnice na time scales III