In this paper we consider the second order nonlinear difference equation ร 4 nondecreasing, and uf u ) 0 as u / 0, q is a real sequence. Some new n ลฝ . sufficient conditions for the oscillation of all solutions of 1 are obtained.
Oscillation of Certain Second-Order Nonlinear Differential Equations
โ Scribed by Wan-Tong Li
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 165 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
1 ลฝ ลฝ .. ลฝ . where ) 0 is any quotient of odd integers, a g C R, 0, ฯฑ , q g C R, R , ลฝ . ลฝ . ลฝ . fgC R, R , xf x ) 0, f ะ x G 0 for x / 0. Some new sufficient conditions for ลฝ . the oscillation of all solutions of ) are obtained. Several examples that dwell upon the importance of our results are also included.
๐ SIMILAR VOLUMES
In this paper discrete inequalities are used to offer sufficient conditions for the oscillation of all solutions of the difference equation ลฝ . n n n q 1 n q 1 n where 0 -s prq with p, q odd integers, or p even and q odd integers. Several examples which dwell upon the importance of our results are
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.
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