Two-term perturbations in half-linear oscillation theory

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Authors

DOŠLÝ Ondřej FIŠNAROVÁ Simona

Year of publication 2013
Type Article in Proceedings
Conference Differential and Difference Equations with Applications
MU Faculty or unit

Faculty of Science

Citation
Web http://link.springer.com/chapter/10.1007/978-1-4614-7333-6_1
Doi http://dx.doi.org/10.1007/978-1-4614-7333-6_1
Field General mathematics
Keywords Half-linear differential equation; oscillation and nonoscillation criteria; Riccati technique; perturbation principle; linearization method
Description We consider the nonoscillatory half-linear differential equation and we study influence of the perturbations both in the absolute term and differential term on oscillatory properties of the perturbed equation. We prove new oscillation criteria which can be applied in situations where previously obtained criteria fail.
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