A second-order nonlinear difference equation: Oscillation and asymptotic behavior
โ Scribed by John W. Hooker; William T. Patula
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 994 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
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
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
In this paper, we are mainly concerned with the second order nonlinear difference equation with continuous variable. Here, by using the iterated integral transformations, generalized Riccati transformations, and integrating factors, we give some oscillatory criteria for this equation.