Results 1 to 10 of about 7,755,587 (178)
Demonstratio Mathematica, 2023 In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
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Fermat type differential and difference equations
Electronic Journal of Differential Equations, 2015 This article we explore the relationship between the number of differential and difference operators with the existence of meromorphic solutions of Fermat type differential and difference equations. Some Fermat differential and difference equations of
Kai Liu, Xianjing Dong
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On the Entire Solutions of a Class of Differential Equations Related to Fermat-Type Equations
MathematicsWe study a substantially generalized version of the equation on nonlinear monomial differential equations, and obtain two-sided inequalities for the growth of entire solutions.
Gengchen Wang, Liangwen Liao
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Entire solutions of Fermat type q-difference differential equations [PDF]
Electronic Journal of Differential Equations, 2013 In this article, we describe the finite-order transcendental entire solutions of Fermat type $q$-difference and $q$-difference differential equations. In addition, we investigate the similarities and other properties among those solutions.
Kai Liu, Ting-Bin Cao
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On Meromorphic Solutions of Functional Equations of Fermat Type [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2018 15pages ...
Pei-Chu Hu
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On the Meromorphic Solutions of Fermat-Type Differential Equations
Journal of Applied Mathematics and Physics, 2022 Dengfeng Liu, Biao Pan
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On the equation fn + (f″)m ≡ 1
Demonstratio Mathematica, 2023 Let nn and mm be two positive integers, and the second-order Fermat-type functional equation fn+(f″)m≡1{f}^{n}+{({f}^{^{\prime\prime} })}^{m}\equiv 1 does not have a nonconstant meromorphic solution in the complex plane, except (n,m)∈{(1,1),(1,2),(1,3 ...
Dang Guoqiang
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Journal of Mathematics, 2023 This article is to describe the entire solutions of some partial differential-difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high-order partial differential-difference ...
Yuxian Chen, Libing Xie, Hongyan Xu
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Entire solutions of two certain Fermat-type ordinary differential equations
Open Mathematics, 2023 In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
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The study of solutions for several systems of PDDEs with two complex variables
Demonstratio Mathematica, 2023 The purpose of this article is to describe the properties of the pair of solutions of several systems of Fermat-type partial differential difference equations.
Xu Yi Hui, Liu Xiao Lan, Xu Hong Yan
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