Singular difference equations: an overview

Authors: Phạm Kỳ Anh, Nguyễn Hữu Dư, Lê Công Lợi,

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Publisher, magazine: ,

Publication year: 2007

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Abstract

This paper gives a brief survey of the development to the theory of singular difference equations (SDEs) and singular stochastic difference equations (SSDEs). It focuses on our recent works on index notions of SDEs, the solvability of initial-value problems (IVPs) and multipoint boundary-value problems (MPBVPs), the stability and robust stability of solutions of SDEs

Tags: implicit difference equation; stochastic difference equation; Lyapunov functions; stability; robust stability; Floquet theory; multiplicative ergodic theorem; Furstenberg-Kifer decomposition