Oscillation theorems for certain nonlinear differential equations of second order
โ Scribed by A. Tiryaki; B. Ayanlar
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 617 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
we present new oscillation criteria for the second-order nonlinear differential equations. These criteria involve the use of averaging functions.
Our theorems are stated in general form; they complement and extend related results known in the literature. Also, the relevance of our results is to show that some of Manojlovic's results contain the superfluous condition.
๐ SIMILAR VOLUMES
this paper, some new oscillation criteria are given for the second-order nonlinear differential equation [rWW))cp (z'(t))]' + c(Q&(t)
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