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.
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