논문KCI 등재
On unicity of meromorphic solutions of differential-difference equations
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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.
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.
참고문헌 (8)
- G. Brosch, "Eindeutigkeitssatze fur meromorphe funktionen", pp.1989
- Y.-M. Chiang, "On the Nevanlinna characteristic of f(z+<TEX>${\eta}$<", TEX>) and difference equations in the complex plane, 2008, pp.16(1), 105~129
- H. Li, "On existence of solutions of differential-difference equations", Math. Methods Appl. Sci., 39(1), pp.144~151 (2016)[DOI]
- I. Laine, "Nevanlinna theory and complex differential equations, De Gruyter Studies in Mathematics, 15" (1993), Walter de Gruyter & Co.
- F. Lu, "On unicity of meromorphic solutions to difference equations of Malmquist type", Bull. Aust. Math. Soc., 93(1), pp.92~98 (2016)[DOI]
- Z. H. Tu, "Some Malmquist-type theorems of partial differential equations on <TEX>$C^n$<", TEX>, 1993, pp.179(1), 41~60
- C. Yang, "On entire solutions of a certain type of nonlinear differential equation", Bull. Austral. Math. Soc., 64(3), pp.377~380 (2001)[DOI]
- C.-C. Yang, "Uniqueness theory of meromorphic functions, Mathematics and its Applications, 557" (2003), Kluwer Academic Publishers Group
관련 논문AI추천
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