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.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace