Skip to main content

Advertisement

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

Article metrics

  • 741 Accesses

  • 1 Citations

Abstract

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.

Author information

Correspondence to Pham Ky Anh.

Rights and permissions

Reprints and Permissions

About this article