On the solvability of initial-value problems for nonlinear implicit difference equations
https://doi.org/10.1155/S1687183904402015Publisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: None
Các bài viết liên quan đến tác giả Phạm Kỳ Anh
On Quasi-Linear Implicit Difference Equation
Connections between implicit difference equations and differential-algebraic equations
On discrete analogues of nonlinear implicit differential equations
Singular difference equations: an overview
Floquet theorem for linear implicit nonautonomous difference systems
Stability and convergence of implicit iteration processes
On the solvability of initial-value problems for nonlinear implicit difference equations
On linear implicit non-autonomous systems of difference equations