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

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

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 exist...

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Main Authors: Ha Thi Ngoc Yen, Pham Ky Anh
Format: Article
Language:English
Published: SpringerOpen 2004-07-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/S1687183904402015
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spelling doaj-007df4a21cfc4832926e09ebbf0db1362020-11-24T22:08:47ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472004-07-012004319520010.1155/S1687183904402015On the solvability of initial-value problems for nonlinear implicit difference equationsHa Thi Ngoc YenPham Ky AnhOur 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.http://dx.doi.org/10.1155/S1687183904402015
collection DOAJ
language English
format Article
sources DOAJ
author Ha Thi Ngoc Yen
Pham Ky Anh
spellingShingle Ha Thi Ngoc Yen
Pham Ky Anh
On the solvability of initial-value problems for nonlinear implicit difference equations
Advances in Difference Equations
author_facet Ha Thi Ngoc Yen
Pham Ky Anh
author_sort Ha Thi Ngoc Yen
title On the solvability of initial-value problems for nonlinear implicit difference equations
title_short On the solvability of initial-value problems for nonlinear implicit difference equations
title_full On the solvability of initial-value problems for nonlinear implicit difference equations
title_fullStr On the solvability of initial-value problems for nonlinear implicit difference equations
title_full_unstemmed On the solvability of initial-value problems for nonlinear implicit difference equations
title_sort on the solvability of initial-value problems for nonlinear implicit difference equations
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2004-07-01
description 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.
url http://dx.doi.org/10.1155/S1687183904402015
work_keys_str_mv AT hathingocyen onthesolvabilityofinitialvalueproblemsfornonlinearimplicitdifferenceequations
AT phamkyanh onthesolvabilityofinitialvalueproblemsfornonlinearimplicitdifferenceequations
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