We present new oscillation criteria for certain classes of second-order nonlinear differential equations and delay differential equations obtained by using an integral averaging technique. Our theorems complement a number of existing results and handle the cases which are not covered by known criter
Oscillation criteria for a class of nonlinear system of differential equations
β Scribed by Zhaowen Zheng
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 312 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0895-7177
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## Abstract In this paper we relate the oscillation problem of the nonlinear functional differential equation (__a__(__t__)__x'__(__t__))__' + q__(__t__) __f__ (__x__(__g__(__t__)))= 0 and the nonlinear neutral functional differential equation (__a__(__t__) (__x__(__t__)__+ p__(__t__)__x__(g^\*^(__
We present new oscillation criteria for the second order nonlinear perturbed differential equations. These criteria are of a high degree of generality and they extend and unify a number of existing results.
## Abstract In this paper, we consider the oscillation of the nonlinear differential equation We obtain a new sufficient condition for any nonoscillatory solution __y__(__t__) of the above equation satisfying lim inf~__t__ββ~ |__y__(__t__)| = 0. (Β© 2005 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)