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Oscillation and asymptotics for nonlinear second-order differential equations

โœ Scribed by Hong-Wu Wu; Qi-Ru Wang; Yuan-Tong Xu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
514 KB
Volume
48
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations
โœ R.P. Agarwal; Qi-Ru Wang ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 699 KB

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

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Oscillation Criteria for Second Order Nonlinear Perturbed Differential Equations
โœ Yuri V Rogovchenko ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 263 KB

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.