Existence of Meromorphic Solutions of First-Order Difference Equations
نویسندگان
چکیده
منابع مشابه
On meromorphic solutions of certain type of difference equations
We mainly discuss the existence of meromorphic (entire) solutions of certain type of non-linear difference equation of the form: $f(z)^m+P(z)f(z+c)^n=Q(z)$, which is a supplement of previous results in [K. Liu, L. Z. Yang and X. L. Liu, Existence of entire solutions of nonlinear difference equations, Czechoslovak Math. J. 61 (2011), no. 2, 565--576, and X. G. Qi...
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i. P. Deligne, Usp. Mat. Nauk, 30, No. 5, 159-190 (1975). 2. H. Jacquet andR. P. Langlands, Automorphic Formson GL(2), Springer-Verlag (1970). 3. S. Banach,.Oeuvres, Vol. i, Warsawa (1967), pp. 318-322. 4. G. A. Margulis, Monatsh. Mmth., 9__0, No. 3, 233-235 (1980), 5. D. Sullivan, Bull. Am. Math. Soc., ~, No. i, 121-123 (1981). 6. R. A. Rank_in, Proc. Cambridge Philos. Soc., 35, 351-372 (1939)...
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متن کاملon meromorphic solutions of certain type of difference equations
we mainly discuss the existence of meromorphic (entire) solutions of certain type of non-linear difference equation of the form: $f(z)^m+p(z)f(z+c)^n=q(z)$, which is a supplement of previous results in [k. liu, l. z. yang and x. l. liu, existence of entire solutions of nonlinear difference equations, czechoslovak math. j. 61 (2011), no. 2, 565--576, and x. g. qi...
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where ω is a positive integer, f (n,x) is defined on Z×R and is ω-periodic with regard to n. In recent years, the existence of periodic solutions of boundary value problems for difference equations has been studied extensively, see, for example, [1, 2, 4, 6–8]. In [5], Peng investigated the existence of positive solutions for the related differential boundary problem of PBVP (1.1) by applying a...
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2019
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-019-09491-0