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Invariants for Some Difference Equations

✍ Scribed by C.J. Schinas

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
142 KB
Volume
212
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we find invariants for some difference equations and for some systems of difference equations and then we utilize them to see whether all solutions of the equations are bounded and persist.

πŸ“œ SIMILAR VOLUMES

On Invariants for Difference Equations a
On Invariants for Difference Equations and Systems of Difference Equations of Rational Form
✍ R Sahadevan πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 70 KB

has presented some invariants for difference equations and systems of difference equations of rational Ε½ . form with constant and periodic coefficients of certain period . We report that the presented invariants as well as their difference equations can be generalized.

Invariants and related Liapunov function
Invariants and related Liapunov functions for difference equations
✍ M.R.S KulenoviΔ‡ πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 360 KB

## Consider the difference equation where xn is in R k and f : D --~ D is continuous where D C R k. Suppose that I : R k ~ R is a continuous invariant, that is, I(f(x)) = I(x) for every x E D. We will show that if I attains an isolated minimum or maximum value at the equilibrium (fixed) point p of