Results 11 to 20 of about 58,551 (261)

Solutions of Fermat-Type Partial Differential–Difference Equations in $$\pmb {{\mathbb {C}}^n}$$ [PDF]

open access: yesMediterranean Journal of Mathematics, 2023
For two meromorphic functions $ f $ and $ g $, the equation $ f^m+g^m=1 $ can be regarded as Fermat-type equations. Using Nevanlinna theory for meromorphic functions in several complex variables, the main purpose of this paper is to investigate the properties of the transcendental entire solutions of Fermat-type difference and partial differential ...
Ling Xu, Tingbin Cao
openaire   +4 more sources

New Integrable Multicomponent Nonlinear Partial Differential-Difference Equations [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sahadevan, R., Balakrishnan, S.
openaire   +1 more source

The Study of Solutions of Several Systems of Nonlinear Partial Differential Difference Equations

open access: yesJournal of Function Spaces, 2022
Our main aim is to describe the entire solutions of several systems of
Hong Yan Xu, Meiying Yu, Keyu Zhang
openaire   +2 more sources

Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2 [PDF]

open access: yesOpen Mathematics, 2021
Abstract 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
Gui Xian Min   +3 more
openaire   +3 more sources

q-analogue of summability of formal solutions of some linear q-difference-differential equations [PDF]

open access: yesOpuscula Mathematica, 2015
Let \(q\gt 1\). The paper considers a linear \(q\)-difference-differential equation: it is a \(q\)-difference equation in the time variable \(t\), and a partial differential equation in the space variable \(z\). Under suitable conditions and by using \(q\
Hidetoshi Tahara, Hiroshi Yamazawa
doaj   +1 more source

Numerical solution for two-dimensional partial differential equations using SM’s method

open access: yesOpen Physics, 2022
In this research paper, the authors aim to establish a novel algorithm in the finite difference method (FDM). The novel idea is proposed in the mesh generation process, the process to generate random grids.
Mastoi Sanaullah   +5 more
doaj   +1 more source

On stability of the third order partial delay differential equation with involution and Dirichlet condition

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem ...
A. Ashyralyev, S. Ibrahim, E. Hincal
doaj   +1 more source

Nonlocal symmetries and recursion operators: Partial differential and differential–difference equations

open access: yesJournal of Mathematical Analysis and Applications, 2005
After brief explanation of the basic definitions and notions connected with nonlocal symmetries of DEs the authors present a systematic method to derive the nonlocal symmetries for PDEs with two independent variables and show that KdV \(\frac{\partial u}{\partial t}=u\frac{\partial u}{\partial x}+\frac{\partial ^3 u}{\partial x^3}\) and Burgers \(\frac{
Sahadevan, R.   +2 more
openaire   +1 more source

Analysis and Recognition Method of Internet Image Public Opinion Based on Partial Differential Equation

open access: yesAdvances in Mathematical Physics, 2021
This article comprehensively and systematically expounds the development trends and basic theory of partial differential methods, analyzes the characteristics of sampling multiscale transformation in detail, and deeply studies the network image denoising
Yang Zhang
doaj   +1 more source

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

open access: yesAdvances 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   +3 more
doaj   +1 more source

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