Oscillation Criteria in Higher Order Neutral Equations
โ Scribed by S.J. Bilchev; M.K. Grammatikopoulos; I.P. Stavroulakis
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 595 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, new oscillation criteria are obtained for all solutions of the odd w ลฝ . ลฝ . ลฝ .x ลฝn. ลฝ . ลฝ . order neutral differential equation x t y P t x t y q Q t x t y s 0, ลฝw . . ลฝw . q . ลฝ . w . where P g C t ,ฯฑ , R , Q g C t ,ฯฑ , R , g 0, ฯฑ , g 0, ฯฑ , and n is odd. 0 0 ฯฑ n y 1 ลฝ . Our result
## This paper discusses a class of first-order neutral differential equations with variable coefficients and variable deviations. A series of sufficient conditions are established for all solutions of the equations to be oscillatory, and some of the conditions are sharp.
We shall investigate the oscillatory behavior of solutions of ruth-order nonlinear neutral difference equations. Some examples which dwell upon the importance of our results are also included.