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Vietnam Journal of Mathematics 35:4(2007) 339-372 |
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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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |