Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Note on a discrete initial value problem from a competition
Journal: Advances in Difference Equations
Volume: 1
First page: 90
Issue Date: 30-Jan-2021
Rank: ~M21a
ISSN: 1687-1847
DOI: 10.1186/s13662-021-03251-w
Abstract: 
The following discrete initial value problem xn+1=xn(xn−12−2)−x1,n∈N,x= 2 and x1= 5 / 2 , appeared at an international competition. It is known that the problem can be solved in closed form. Here we discuss the solvability of a more general initial value problem which includes the former one. We show that, in a sense, there are not so many solvable discrete initial value problems related to this one, showing its specificity, which is a bit surprising result.
Keywords: Closed-form formula | Discrete initial value problem | Nonlinear difference equation | Solvable equation
Publisher: Springer Link

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