On a class of solvable higher-order difference equations | Zendy

Stevo Stević | Zendy; Mohammed Alghamdi | Zendy; Abdullah Alotaibi | Zendy; E. M. Elsayed | Zendy

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On a class of solvable higher-order difference equations

Author(s) -

Stevo Stević,

Mohammed Alghamdi,

Abdullah Alotaibi,

E. M. Elsayed

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1702461s

Subject(s) - mathematics , class (philosophy) , order (exchange) , domain (mathematical analysis) , constant (computer programming) , term (time) , combinatorics , mathematical analysis , pure mathematics , quantum mechanics , physics , finance , artificial intelligence , computer science , economics , programming language

Closed form formulas for well-defined solutions of a class of difference equations of interest are given. Long term behaviour of well-defined solutions of the equations is presented in detail for the case when the coefficients are constant. We also describe the domain of undefinable solutions of the equation. Our results explain and considerably improve some recent results in the literature.

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