Results 241 to 250 of about 2,424,151 (268)

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
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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
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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 ...
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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
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Entire solutions of eiconal type equations

Archiv der Mathematik, 2007
The paper characterizes entire solutions to partial differential equations $$u_{z_{1}}^{2} + u_{z_{2}}^{2} = p$$ for polynomials p in $${\mathbb{C}}^2$$ .
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On entire and meromorphic solutions of

Complex Variables, Theory and Application: An International Journal, 2004
We describe the entire and meromorphic solutions of partial differential equations of the form where k, m>1, λ in ...
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ENTIRE SOLUTIONS FOR LOTKA–VOLTERRA COMPETITION-DIFFUSION MODEL

International Journal of Biomathematics, 2013
This paper is concerned with the existence of entire solutions of Lotka–Volterra competition-diffusion model. 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
Wang, Xiaohuan, Lv, Guangying
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ON EXPLICIT RADIAL ENTIRE AND NON-ENTIRE SOLUTIONS

Progress in Analysis, 2003
PHILIP W. SCHAEFER, V. GOYAL
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On entire solutions to eikonal-type equations

Journal of Mathematical Analysis and Applications, 2022
Qi Han
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