Results 151 to 160 of about 288 (167)
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On the Asymptotics of Solutions of the Wave Operator with Meromorphic Coefficients
Mathematical Notes, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korovina, M. V. +2 more
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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 entire and meromorphic solutions of
Complex Variables, Theory and Application: An International Journal, 2004We describe the entire and meromorphic solutions of partial differential equations of the form where k, m>1, λ in ...
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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 Solutions of Complex Differential–Difference Equations
Results in Mathematics, 2017In this paper, the authors study the differential-difference equations of the form \[ f(z+c)=e^{P(z)}f^{(k)}(z), \] where \(P(z)\) is a polynomial with \(\deg P=n\geq1\). In fact, they prove that if \(f(z)\) is a finite order entire solution of the above differential-difference equation with a Borel exceptional value b, then \(b = 0\) and the order ...
Kai Liu, Chang Jiang Song
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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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