Oscillation Theorems for Certain Functional Differential Equations
β Scribed by S.R. Grace
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 332 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
nis odd and a s " 1, are established. Here, we require the function f to be locally of bounded variation.
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
## Abstract Our aim in this paper is to obtain the comparison principles which extend those of Grace and LALLI. The equations. L~n~u(t)Β±f(t, u[g(t)]= 0 are compared with the equations. M~n~u(t)Β±z(t)h([Ο(t)])= 0.
In this paper discrete inequalities are used to offer sufficient conditions for the oscillation of all solutions of the difference equation Ε½ . 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