Browse > Article
http://dx.doi.org/10.4134/JKMS.j170387

ON UNICITY OF MEROMORPHIC SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS  

Hu, Pei-Chu (Department of Mathematics Shandong University)
Wang, Qiong-Yan (Department of Mathematics Shandong University)
Publication Information
Journal of the Korean Mathematical Society / v.55, no.4, 2018 , pp. 785-795 More about this Journal
Abstract
In this paper, we give a uniqueness theorem on meromorphic solutions f of finite order of a class of differential-difference equations such that solutions f are uniquely determined by their poles and two distinct values.
Keywords
differential-difference equation; unicity; meromorphic solution; Nevanlinna theory;
Citations & Related Records
연도 인용수 순위
  • Reference
1 H. Li, On existence of solutions of differential-difference equations, Math. Methods Appl. Sci. 39 (2016), no. 1, 144-151.   DOI
2 G. Brosch, Eindeutigkeitssatze fur meromorphe funktionen, Dissertation, Technical University of Aachen, 1989.
3 Y.-M. Chiang and S.-J. Feng, On the Nevanlinna characteristic of f(z+${\eta}$) and difference equations in the complex plane, Ramanujan J. 16 (2008), no. 1, 105-129.   DOI
4 I. Laine, Nevanlinna theory and complex differential equations, De Gruyter Studies in Mathematics, 15, Walter de Gruyter & Co., Berlin, 1993.
5 F. Lu, Q. Han, and W. Lu, On unicity of meromorphic solutions to difference equations of Malmquist type, Bull. Aust. Math. Soc. 93 (2016), no. 1, 92-98.   DOI
6 Z. H. Tu, Some Malmquist-type theorems of partial differential equations on $C^n$, J. Math. Anal. Appl. 179 (1993), no. 1, 41-60.   DOI
7 C. Yang, On entire solutions of a certain type of nonlinear differential equation, Bull. Austral. Math. Soc. 64 (2001), no. 3, 377-380.   DOI
8 C.-C. Yang and H.-X. Yi, Uniqueness theory of meromorphic functions, Mathematics and its Applications, 557, Kluwer Academic Publishers Group, Dordrecht, 2003.