Results 271 to 280 of about 824,119 (290)

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 of the Monge‐Ampère equation

Communications on Pure and Applied Mathematics, 1996
It is shown that the Monge-Ampère equation \(\text{det } D^2 u= f\), where \(f\) is pinched between two positive constants, has infinitely many genuinely distinct solutions in the whole Euclidean space.
Chou, Kai-Seng, Wang, Xu-Jia
openaire   +2 more sources

Entire solutions of integrodifference equations

Journal of Difference Equations and Applications, 2019
This paper is concerned with the existence of nontrivial entire solutions of integrodifference equations.
Li Zhang, Shuxia Pan
openaire   +1 more source

Entire Solutions of Some Differential–Difference Equations

Bulletin of the Iranian Mathematical Society, 2019
This paper is a continuation of the paper by \textit{X. Qi} et al. [J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 3, 128--133 (2017; Zbl 1372.30023)]. Here the authors prove some non-existence theorems on entire solutions with finite order of Fermat-type differential-difference equations using Nevanlinna theory.
Xiaoguang Qi, Lianzhong Yang
openaire   +2 more sources

Entire Solutions of Binomial Differential Equations

Computational Methods and Function Theory, 2021
We find explicit forms for all the entire solutions of a certain type of non-linear binomial differential equation. This has connections to results of Hayman, Mues, Langley and Bergweiler. Observations about entire solutions of two similar types of binomial differential equations are discussed, and open questions about all three types of equations are ...
Gary G. Gundersen, Chung-Chun Yang
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, Lou, Bendong, Suo, Jinzhe   +2 more
openaire   +2 more sources

Entire solutions of the KPP equation

Communications on Pure and Applied Mathematics, 1999
The paper deals with the solutions defined for all time of the KPP equation \[ u_t=u_{xx}+f(u ...
Hamel, F., Nadirashvili, N.
openaire   +2 more sources

Entire solutions of delayed reaction‐diffusion equations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2011
AbstractThis paper is concerned with entire solutions of delayed reaction‐diffusion equations. Using the comparing argument and sub‐super solutions method, we obtain the existence of entire solutions which behave as two wave fronts coming from the both sides of x‐axis, where an entire solution is meant by a classical solution defined for all space and ...
openaire   +2 more sources

Entire solutions of quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gladkov, Alexander, Slepchenkov, Nickolai   +1 more
openaire   +2 more sources