On the global asymptotic stability and oscillation of solutions in a stochastic business cycle model. Issue 11 (1st November 2016)

• Record Type: Journal Article
• Authors: Deng, Guifeng; Chen, Guoting; Qian, Lili
• Is Part Of: Journal of difference equations and applications. Volume 22:Issue 11(2016)
• Page Start: 1609
• Page End: 1620
• Publication Date: 2016-11-01
• Subjects: Stochastic difference equation -- stability -- almost sure oscillation -- business cycle; 39A21 -- 39A50 -- 60B10 -- 60G50 -- 91B70; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2016.1231182
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract : We discuss a second order nonlinear stochastic difference equation which is constructed of a business cycle model with organized labor considered. A global asymptotic mean square stability criterion is obtained by Lyapunov function method. We also prove a theorem on the almost sure oscillation of the solutions for the difference equation with state-independent stochastic perturbations.