Existence of entire solutions of some non-linear differential-difference equations

Abstract In this paper, we investigate the admissible entire solutions of finite order of the differential-difference equations ( f ′ ( z ) ) 2 + P 2 ( z ) f 2 ( z + c ) = Q ( z ) e α ( z ) $(f'(z))^{2}+P^{2}(z)f^{2}(z+c)=Q(z)e^{\alpha(z)}$ and ( f ′ ( z ) ) 2 + [ f ( z + c ) − f ( z ) ] 2 = Q...

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Bibliographic Details
Main Authors: Minfeng Chen, Zongsheng Gao, Yunfei Du
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1368-1