The Exact Entire Solutions of Certain Type of Nonlinear Difference Equations

In this paper, we consider the entire solutions of nonlinear difference equation , where is a polynomial, and and are nonzero constants with . It is showed that if is a nonconstant entire solution of to the above equation, then , where and are two constants. Meanwhile, we give an affirmative answer...

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Bibliographic Details
Published in:Journal of contemporary mathematical analysis 2021-03, Vol.56 (2), p.94-103
Main Authors: Lü, F., Li, C., Xu, J.
Format: Article
Language:English
Subjects:
Constants
Difference equations
Mathematics
Mathematics and Statistics
Polynomials
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Summary:In this paper, we consider the entire solutions of nonlinear difference equation , where is a polynomial, and and are nonzero constants with . It is showed that if is a nonconstant entire solution of to the above equation, then , where and are two constants. Meanwhile, we give an affirmative answer to the conjecture posed by Zhang et al in [ 18 ].
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362321020059