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.
Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations
β Scribed by R.P. Agarwal; Qi-Ru Wang
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 699 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
β¦ Synopsis
A b s t r a c t --I n this paper, for all regular solutions of a class of second-order nonlinear perturbed differential equations, new oscillation criteria are established. Asymptotic behavior for forced equations is also discussed. @ 2004 Elsevier Ltd. All rights reserved. K e y w o r d s --N o n l i n e a r , Perturbed, Oscillation, Asymptotic behavior.
π SIMILAR VOLUMES
This paper discusses a class of second-order nonlinear differential equations. By using the generalized Riccati technique and the averaging technique, new oscillation criteria are obtained for all solutions of the equation to be oscillatory. Asymptotic behavior for forced equations is also discussed
## Abstract We give constructive proof of the existence of vanishing at infinity oscillatory solutions for a secondβorder perturbed nonlinear differential equation. In contrast to most results reported in the literature, we do not require oscillatory character of the associated unperturbed equation