Oscillations of first order difference equations
β Scribed by N. Parhi
- Publisher
- Indian Academy of Sciences
- Year
- 2000
- Tongue
- English
- Weight
- 101 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0253-4142
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π SIMILAR VOLUMES
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.
## Consider the higher-order linear difference equation n-+1 G-1 + pn:cn = 0, ## . (*) where m 2 1 is an odd integer, and {pn} is a sequence of nonnegative real numbers. We obtain several new sufficient conditions for the oscillation of all solutions of equation (\*). Examples which dwell upon
The authors consider the fourth-order difference equation ~2(r,~2yn)Γ·f(n, yn)=O, n E N(n0), (,) where f(n, u) may be classified as superlinear, sublinear, strongly superlinear, and strongly sublinear and Y~=no(n/rn) < oc. In superlinear and sublinear cases, necessm'y and sufficient conditions are ob