𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A class of second-order nonlinear difference equations. II. Comparison results and approximation of solutions

✍ Scribed by N Anderson; A.M Arthurs

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
368 KB
Volume
111
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Periodic solutions of second-order nonli
Periodic solutions of second-order nonlinear difference equations containing a small parameter
✍ Ronald E. Mickens πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 314 KB

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

Periodic solutions of second-order nonli
Periodic solutions of second-order nonlinear difference equations containing a small parameterβ€”II. Equivalent linearization
✍ Ronald E. Mickens πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 325 KB

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