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  • Research Article
  • Open Access

On the solvability of initial-value problems for nonlinear implicit difference equations

Advances in Difference Equations20042004:390451

  • Received: 18 February 2004
  • Published:


Our aim is twofold. First, we propose a natural definition of index for linear nonautonomous implicit difference equations, which is similar to that of linear differential-algebraic equations. Then we extend this index notion to a class of nonlinear implicit difference equations and prove some existence theorems for their initial-value problems.

Authors’ Affiliations

Department of Mathematics, Mechanics, and Informatics, College of Science, Vietnam National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
Department of Applied Mathematics, Hanoi University of Technology, 1 Dai Co Viet, Hanoi, 10000, Vietnam


© Anh and Yen 2004