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Stability for a class of difference equations

โœ Scribed by Yoshiaki Muroya; Emiko Ishiwata

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
635 KB
Volume
228
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

We consider the following non-autonomous and nonlinear difference equations with unbounded delays:

-โˆž < j โ‰ค 0, where 0 < q < 1 and f j (x) (0 โ‰ค j < +โˆž) are suitable functions. We establish sufficient conditions for the zero solution of the above equation to be globally asymptotically stable. These conditions improve the well known stability conditions for linear and nonlinear difference equations.

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