Results 11 to 20 of about 7,755,587 (178)

Entire solutions of some Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$

Demonstratio Mathematica
In this paper, we consider Fermat-type functional equations of the formF2(z)+G2(z)=exp(c1z1+c2z2+c0), $${F}^{2}\left(z\right)+{G}^{2}\left(z\right)=\mathrm{exp}\left({c}_{1}{z}_{1}+{c}_{2}{z}_{2}+{c}_{0}\right),$$
Chakraborty Gorachand, Ahamed Molla Basir, Gorai Amiya   +2 more
doaj   +2 more sources

All meromorphic solutions of Fermat-type functional equations [PDF]

Nagoya Mathematical Journal
Abstract In this article, by utilizing the properties of elliptic functions, we characterize the meromorphic solutions of Fermat-type functional equations $f(z)^{n}+f(L(z))^{m}=1$
Lü, Feng
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Exact forms of entire solutions for Fermat type partial differential equations in C^2

Electronic Journal of Differential Equations, 2021
This article studies the existence and the exact form of entire solutions of several Fermat type partial differential equations in C2, by utilizing the Nevanlinna theory of meromorphic functions in several complex variables.
Yu Xian Chen, Hong Yan Xu
doaj   +1 more source

Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]

, 2013
A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke, Kloeden, Peter E., Mao, Xuerong   +2 more
core   +4 more sources

Mostra bibliogràfica: Pierre de Fermat (1601-1665). (2005)

, 2005
Material elaborat pel CRAI Biblioteca de MatemàtiquesExposició bibliogràfica, Juny 2005Pierre de Fermat (Beaumont-de-Lomanha, França 1601 - Castres 1665) fou un advocat i matemàtic occità, que sobresortí pels seus treballs matemàtics. Estudià a Tolosa de
Universitat de Barcelona. CRAI
core   +8 more sources

Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables

Advances in Difference Equations, 2021
This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
Hong Yan Xu, Da Wei Meng, Sanyang Liu, Hua Wang   +3 more
doaj   +1 more source

Entire solutions to Fermat-type difference and partial differential-difference equations in C^n

Electronic Journal of Differential Equations
In this article, we study the existence and the form of finite order transcendental entire solutions of systems of Fermat-type difference and partial differential-difference equations in several complex variables.
Hong Yan Xu, Goutam Haldar
doaj   +2 more sources

On Smarandache's form of the individual Fermat-Euler theorem [PDF]

, 1997
In the paper it is shown how a form of the classical FERMAT-EULER Theorem discovered by F. SMARANDACHE fits into the generalizations found by S.SCHWARZ, M.LASSAK and the author.
Porubsky, Stefan
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Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2

Open Mathematics, 2021
By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we mainly investigate the existence and the forms of entire solutions for the partial differential-difference equation of Fermat type α∂f(z1,z2)∂z1+β∂f(z1,z2)∂z2m+f(
Gui Xian Min, Xu Hong Yan, Tang Wen Ju, Wang Hua   +3 more
doaj   +1 more source

Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation

Journal of Mathematics, 2020
In this paper, the entire solutions of finite order of the Fermat-type differential-difference equation f″z2+△ckfz2=1 and the system of equations f1″z2+△ckf2z2=1 and f2″z2+△ckf1z2=1 have been studied.
Guoqiang Dang, Jinhua Cai
doaj   +1 more source