Oscillation criterion for half-linear differential equations with periodic coefficients
✍ Scribed by O. Došlý; A. Özbekler; R. Šimon Hilscher
- Book ID
- 113721976
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 231 KB
- Volume
- 393
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
By means of a classical inequality and an averaging technique, we obtain an oscillation criterion for nonhomogeneous half-linear differential equations. Our result is much more general than a recent result of Wong [1] and makes use of the oscillatory behavior of the forcing terms on intervals.
## Abstract In this paper we obtain instability and stability criteria for second order linear impulsive differential equations with periodic coefficients. Further, a Lyapunov type inequality is also established. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)