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Existence and forms of entire solutions to system of non-linear partial differential equations

Electronic Journal of Differential Equations
Abhijit Banerjee, Jhuma Sarkar
doaj  

SOME ENTIRE SOLUTIONS OF THE ALLEN–CAHN EQUATION [PDF]

Taiwanese Journal of Mathematics, 2004
Yoshihisa Morita, Hirokazu Ninomiya
exaly   +2 more sources

Entire Solutions of Binomial Differential Equations [PDF]

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 of the KPP equation

Communications on Pure and Applied Mathematics, 1999
This paper deals with the solutions defined for all time of the KPP equation ut = uxx+ f(u); 0 0, f 0 (1) 0i n(0; 1), and f 0 (s) f 0 (0) in [0; 1]. This equation admits infinitely many traveling-wave-type solutions, increasing or decreasing in x .I t also admits solutions that depend only on t.
François Hamel, Nikolai Nadirashvili
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.
Shuxia Pan, Li Zhang, Li Zhang
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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 ...
openaire   +2 more sources