Solvable product-type system of difference equations with two dependent variables

Abstract It has been recently noticed that there is a finite number of two-dimensional classes of product-type systems of difference equations solvable in closed form. We present a new class of this type. A detailed analysis of the form of its solutions is given. Our results complement the previous...

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Main Author: Stevo Stević
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1305-0
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author Stevo Stević
author_facet Stevo Stević
author_sort Stevo Stević
collection DOAJ
description Abstract It has been recently noticed that there is a finite number of two-dimensional classes of product-type systems of difference equations solvable in closed form. We present a new class of this type. A detailed analysis of the form of its solutions is given. Our results complement the previous ones on such systems and present one of the final steps in describing the forms of their solutions.
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spelling doaj.art-9ccd733d0b6f439f871e4d81c67d9c412022-12-22T02:07:44ZengSpringerOpenAdvances in Difference Equations1687-18472017-08-012017112210.1186/s13662-017-1305-0Solvable product-type system of difference equations with two dependent variablesStevo Stević0Mathematical Institute of the Serbian Academy of SciencesAbstract It has been recently noticed that there is a finite number of two-dimensional classes of product-type systems of difference equations solvable in closed form. We present a new class of this type. A detailed analysis of the form of its solutions is given. Our results complement the previous ones on such systems and present one of the final steps in describing the forms of their solutions.http://link.springer.com/article/10.1186/s13662-017-1305-0system of difference equationsproduct-type systemsolvable in closed form
spellingShingle Stevo Stević
Solvable product-type system of difference equations with two dependent variables
Advances in Difference Equations
system of difference equations
product-type system
solvable in closed form
title Solvable product-type system of difference equations with two dependent variables
title_full Solvable product-type system of difference equations with two dependent variables
title_fullStr Solvable product-type system of difference equations with two dependent variables
title_full_unstemmed Solvable product-type system of difference equations with two dependent variables
title_short Solvable product-type system of difference equations with two dependent variables
title_sort solvable product type system of difference equations with two dependent variables
topic system of difference equations
product-type system
solvable in closed form
url http://link.springer.com/article/10.1186/s13662-017-1305-0
work_keys_str_mv AT stevostevic solvableproducttypesystemofdifferenceequationswithtwodependentvariables