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 nonlinear differential equations with integrable coefficient
β Scribed by Huei-Lin Hong; Cheh-Chih Yeh; Chen-Huang Hong
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 124 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
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~tββ~ |y(t)| = 0. (Β© 2005 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
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 This paper is concerned with the problem of deciding conditions on the coefficient __q__ (__t__) and the nonlinear term __g__ (__x__) which ensure that all nontrivial solutions of the equation (__|x__ β²|^Ξ±β1^__x__ β²)β² + __q__ (__t__)__g__ (__x__) = 0, __Ξ±__ > 0, are nonoscillatory. The
Conditions for the oscillation of the solutions of nonlinear impulsive delay Ε½ differential equations are found. The results given by D. D.