Mean stability of a stochastic difference equation

• Autorzy: Viorica Mariela Ungureanu , Sui Sun Cheng
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37H10: Generation, random and stochastic difference and differential equations
• 93E15: Stochastic stability

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 93
• Numer: 1
• Strony: 33-52

Daty

wydano

2008

Twórcy

autor

Viorica Mariela Ungureanu

• Department of Mathematics, "Constantin Brancusi" University, Bulevardul Republicii, nr. 1, jud. Gorj, Targu Jiu, Romania

autor

Sui Sun Cheng

• Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R.O. China

Identyfikatory

DOI

10.4064/ap93-1-3