Results 221 to 230 of about 434,263 (264)

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 G Saleeby
exaly   +2 more sources

On Entire Solutions of Some Differential-Difference Equations

Computational Methods and Function Theory, 2013
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Lianzhong Yang, Yang Lianzhong
exaly   +3 more sources

Entire Solutions of Discrete Elliptic Equations

Southeast Asian Bulletin of Mathematics, 2003
By means of monotone methods, comparison theorems for the existence and uniqueness of solutions of discrete elliptic type partial difference equations are derived. The results permit to find positive and bounded solutions to several specific equations.
Pao, C. V., Cheng, S. S.
openaire   +1 more source

Entire solutions of differential equations with finite order transcendental entire coefficients

Acta Mathematica Sinica, 1997
The authors consider the nonhomogeneous linear differential equation \(f^{(k)}+ A_{k-1}f^{(k-1)}+\cdots +A_0f=F\). Here, they use Nevanlinna's value distribution theory to investigate the complex oscillation of this system when the coefficients and the nonhomogeneous function \(F\) are transcendental entire functions of finite order, such that there ...
Chen, Zongxuan, Gao, Shian
openaire   +1 more source

Entire Solutions to a Lattice Fisher-KPP System

Discrete and Continuous Dynamical Systems - B, 2023
The authors study the following lattice system of Fisher-KPP type (with Dirichlet boundary condition at \(n=0\)): \[ u'_n(t)=u_{n+1}(t)-2u_n(t)+u_{n-1}(t)+f(u_n(t)), \quad n\in \mathbb{Z}. \] They first establish the existence of a unique positive stationary solution \(\{u_n\}\) and show its stability. Then they construct two types of entire solutions,
Cheng, Cui-Ping   +2 more
openaire   +2 more sources

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