We extend to a particular class of nonlinear difference equations the classical method of equivalent linearization. We show that the method can be used to obtain an approximation to the periodic solutions of these equations. In particular, we can determine the parameters of the limit cycles and limi
Second-order non-linear difference equations containing small parameters
β Scribed by H.C. Torng
- Book ID
- 111708572
- Publisher
- Elsevier Science
- Year
- 1960
- Tongue
- English
- Weight
- 285 KB
- Volume
- 269
- Category
- Article
- ISSN
- 0016-0032
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π SIMILAR VOLUMES
We extend to difference equations the classical method of harmonic balance. We show that the method can be used to obtain an approximation to the periodic solutions of a special class of second-order nonlinear di$erence equations containing a small parameter. Two examples illustrating the method are
In this paper, we obtain new sufficient conditions for the oscillation of all solutions of the second-order linear difference equation where Axn = xt,+1 --xn is the forward difference operator, {Ph} is a sequence of nonnegative real numbers. Our results improve the know results in the literature.