Results 141 to 150 of about 369 (181)

Exactly Solvable Anharmonic Oscillator, Degenerate Orthogonal Polynomials and Painlevé II. [PDF]

Commun Math Phys
Bertola M, Chavez-Heredia E, Grava T.
europepmc   +1 more source

On the meromorphic solutions of an equation of Hayman

Journal of Mathematical Analysis and Applications, 2003
A classical result of \textit{A. A. Gol'dberg} [Ukrain. Math. Zh. 8, 254--261 (1956; Zbl 0072.09202)] says that meromorphic solutions to first-order algebraic differential equations have finite order of growth. This result has been extended to certain higher-order differential equations by various authors. \textit{W. K. Hayman} [Atti Accad. Naz. Lincei,
Chiang, Yik Man MATH, Halburd, RG
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On entire and meromorphic solutions of

Complex Variables and Elliptic Equations, 2004
We describe the entire and meromorphic solutions of partial differential equations of the form where k, m>1, λ in ...
Elias Saleeby
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On Meromorphic Solutions of the Systems of Linear Differential Equations with Meromorphic Coefficients

Ukrainian Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mokhonko, A. A., Mokhonko, A. Z.
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Meromorphic solutions in the FitzHugh–Nagumo model

Applied Mathematics Letters, 2018
The system of Fitz-Nagumo differential equations \[ (1) \quad v_t=v-v^3 - u+\sigma, \quad \tau u_t=v-\beta u-\alpha, \quad \alpha , \beta, \sigma, \tau \in C \] is considered in the paper. For this system the authors presented two new transcendental solutions.
Maria V. Demina, Nikolay A. Kudryashov
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On Meromorphic Solutions of Nonlinear Complex Difference Equations

Bulletin of the Malaysian Mathematical Sciences Society, 2023
The authors study meromorphic solutions of the nonlinear difference equation \[ f^n(z)+P(z)\Delta^l_{\eta}f(z)=H_0(z)+H_1(z)e^{P_1(z)}+\cdots+H_m(z)e^{P_m(z)}, \] where \(n, l, m, q\) are positive integers with \(n\geq 2\), \(\eta\) is a nonzero complex number satisfying \(\Delta^l_{\eta}f(z)\not\equiv 0\), \(p_1,\ldots, p_m\) are polynomials of degree
Min Zhu, Jun-Fan Chen
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Meromorphic Solutions of Complex Differential–Difference Equations

Results in Mathematics, 2017
In 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 ...

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Meromorphic Solutions of Certain Nonlinear Difference Equations

Results in Mathematics, 2021
The authors consider differential equations of the form \( f^{n}(z)+R_{d}(z,f)=p_{1}e^{\alpha _{1z}}+p_{2}e^{\alpha _{2}z},\) where \( R_{d}(z,f)\) is a differential polynomial in \(f\) of degree \(d\), and difference equations of the form \(f^{n}(z)+P_{d}(z,f)=p_{1}e^{\alpha _{1z}}+p_{2}e^{\alpha _{2}z},\) where \(P_{d}(z,f)\) is a difference ...
Huifang Liu, Zhiqiang Mao
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On the Growth of Meromorphic Solutions of Difference Equations

Ukrainian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lan, Sh.-T., Chen, Z.-X.
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On the Asymptotics of Solutions of the Wave Operator with Meromorphic Coefficients

Mathematical Notes, 2020
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Korovina, M. V., Matevosyan, O. A., Smirnov, I. N.   +2 more
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