Solutions of Fermat-Type Partial Differential–Difference Equations in $$\pmb {{\mathbb {C}}^n}$$ [PDF]
Mediterranean 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]
Journal of Nonlinear Mathematical Physics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sahadevan, R., Balakrishnan, S.
openaire +1 more source
Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2 [PDF]
Open 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
The Study of Solutions of Several Systems of Nonlinear Partial Differential Difference Equations
Journal 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
Stability of the time-dependent identification problem for delay hyperbolic equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors.
A. Ashyralyev, B. Haso
doaj +2 more sources
Green's function of a centered partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Applying a variation of Jacobi iteration we obtain the Green's function for the centered partial difference equation $$\Delta_{ww} u(x_{w-1},y_z) + \Delta_{zz} u(x_w,y_{z-1}) + f(u(x_w,y_z))=0,$$ which is the result of applying the finite difference ...
Richard Avery, Douglas Anderson
doaj +1 more source
A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
doaj +1 more source
Advances in Mathematical Physics, 2021 Based on the introduction of the basic ideas and related technologies of partial differential equations, as well as the method of path planning, the application of partial differential equations in solving urban path planning is studied.
Duo Li
doaj +1 more source
Curious convergence properties of lattice Boltzmann schemes for diffusion with acoustic scaling [PDF]
, 2018 We consider the D1Q3 lattice Boltzmann scheme with an acoustic scale for the simulation of diffusive processes. When the mesh is refined while holding the diffusivity constant, we first obtain asymptotic convergence.
Boghosian, Bruce +4 more
core +2 more sources
q-analogue of summability of formal solutions of some linear q-difference-differential equations [PDF]
Opuscula 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