Results 151 to 160 of about 369 (181)
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On Uniqueness of Meromorphic Solutions to Delay Differential Equation
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Du, Yishuo, Zhang, Jilong
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Complex Variables, Theory and Application: An International Journal, 2001
Hayman showed that for n≥9, there do not exist three nonconstant meromorphic functions f g, and h that satisfy . There are examples which show that this theorem does not hold when n = 6 and 1 ≥n≥4. In this paper we give an example which shows that this theorem does not hold when n=5.
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Hayman showed that for n≥9, there do not exist three nonconstant meromorphic functions f g, and h that satisfy . There are examples which show that this theorem does not hold when n = 6 and 1 ≥n≥4. In this paper we give an example which shows that this theorem does not hold when n=5.
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On the Meromorphic Solutions of Linear Differential Equations
Journal of Systems Science and Complexity, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON MEROMORPHIC SOLUTIONS OF GENERALIZED FERMAT EQUATIONS
International Journal of Mathematics, 2014Meromorphic solutions f, g of the equations fp + gq = 1 in C2 with p, q ≥ 2 being integers are not necessarily constant. We show that they always are, if fz2 and gz1 have the same zeros. An application is also given to characterize meromorphic solutions of related nonlinear partial differential equations.
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On Meromorphic Solutions of Nonlinear Complex Differential Equations
Analysis Mathematica, 2023The paper describes the meromorphic solutions of differential equations of a special form. Its main result is the following theorem:\par Theorem. Let \(n\ge 3\), \(d\ge 0\) and \(m\ge 1\) be integers, \(n\ge m\) and \(P(z,f,f^{'},\dots,f^{(d)})\) be a differential polynomial in \(f(z)\) of degree \(d\le n\) with small functions of \(f(z)\) as its ...
Chen, J.-F., Feng, Y.-Y.
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A Remark on the Meromorphic Solutions in the FitzHugh–Nagumo Model
Bulletin of the Malaysian Mathematical Sciences Society, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Lü, Chun He, Junfeng Xu
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Meromorphic and algebroidal solutions of functional equations
Ukrainian Mathematical Journal, 1984Translation from Ukr. Mat. Zh. 36, No.6, 780-786 (Russian) (1984; Zbl 0552.30017).
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Meromorphic Solutions for a Class of Differential Equations and Their Applications
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lü, Weiran +3 more
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Growth on Meromorphic Solutions of Differential–Difference Equations
Bulletin of the Malaysian Mathematical Sciences Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Qiongyan +2 more
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Hypertranscendency of meromorphic solutions of a linear functional equations
aequationes mathematicae, 1998The author considers meromorphic solutions \(y\) of the functional equation \(y(cz)=a(z)y(z)+b(z)\) where \(a\) and \(b\) are meromorphic and \(c\) is a non-zero constant satisfying \(|c|\not=1\). The first result says that if \(b(0)\not=\infty, a(0)\not=0, \infty\) and \(a(0)\not=c^{j}\) for \(j=0,1,2,...,\) then the functional equation has a ...
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