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Oscillation Criteria for Certain Nonlinear Differential Equations

✍ Scribed by Yuri V Rogovchenko

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
118 KB
Volume
229
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 criteria.

πŸ“œ SIMILAR VOLUMES

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## 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__β†’βˆž~ |__y__(__t__)| = 0. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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✍ Wan-Tong Li πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 165 KB

1 Ž Ž .. Ž . where ) 0 is any quotient of odd integers, a g C R, 0, ϱ , q g C R, R , Ž . Ž . Ž . fgC R, R , xf x ) 0, f Ј x G 0 for x / 0. Some new sufficient conditions for Ž . the oscillation of all solutions of ) are obtained. Several examples that dwell upon the importance of our results are als