Results 141 to 150 of about 288 (167)

Form of solutions to quadratic trinomial partial differential equations with two complex variables

open access: yesElectronic Journal of Differential Equations
Jin Tu, Huizhen Wei
doaj  

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.
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +2 more sources

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
openaire   +2 more sources

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.
openaire   +2 more sources

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