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Mean stability of a stochastic difference equation

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Ungureanu V., Cheng S.

Annales Polonici Mathematici

2008

tom 93

nr 1

33-52

A simple personal saving model with interest rate based on random fluctuation of national growth rate is considered. We establish connections between the mean stochastic stability of our model and the deterministic stability of related partial difference equations. Then the asymptotic behavior of our stochastic model is studied. Although the model is simple, the techniques for obtaining its properties are not, and we make use of the theory of abstract Banach algebras and weighted spaces. It is hoped that our study will lead to more realistic random models.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Cheng S.

1 Ungureanu V.

1 2008

Wyniki wyszukiwania

Mean stability of a stochastic difference equation