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Vietnam Journal of Mathematics 35:4(2007)
339-372
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Singular Difference Equations: An Overview
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Pham Ky Anh, Nguyen Huu Du, and Le Cong
Loi
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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.
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2000 Mathematics Subject Classification: 39A11, 34A09,
37H15.
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Keywords: SDEs, SSDEs, index of SDE, IVP, MPBVP,
Lyapunov functions, stability, robust stability, Floquet theory, matrix
pencil, multiplicative ergodic theorem (MET), Furstenberg-Kifer
decomposition.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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