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Existence and forms of entire solutions to system of non-linear partial differential equations
Electronic Journal of Differential EquationsAbhijit Banerjee, Jhuma Sarkar
doaj
Semi-Supervised Novelty Detection Using SVM Entire Solution Path [PDF]
IEEE Transactions on Geoscience and Remote Sensing, 2013 Very often, the only reliable information available to perform change detection is the description of some unchanged regions. Since sometimes these regions do not contain all the relevant information to identify their counterpart (the changes), we ...
Frank De Morsier +2 more
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Numerical Method for Dirichlet Problem with Degeneration of the Solution on the Entire Boundary
Symmetry, 2019 The finite element method (FEM) with a special graded mesh is constructed for the Dirichlet boundary value problem with degeneration of the solution on the entire boundary of the two-dimensional domain.
V A Rukavishnikov +2 more
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Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
Discrete and Continuous Dynamical Systems, 2021 We deal with the bistable reaction-diffusion equation in an infinite star graph, which consists of several half-lines with a common end point. The aim of our study is to show the existence of front-like entire solutions together with the asymptotic ...
Yoshihisa Morita
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Entire Solutions of Discrete Elliptic Equations
Southeast Asian Bulletin of Mathematics, 2003By means of monotone methods, comparison theorems for the existence and uniqueness of solutions of discrete elliptic type partial difference equations are derived. The results permit to find positive and bounded solutions to several specific equations.
Pao, C. V., Cheng, S. S.
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Entire solutions of differential equations with finite order transcendental entire coefficients
Acta Mathematica Sinica, 1997The authors consider the nonhomogeneous linear differential equation \(f^{(k)}+ A_{k-1}f^{(k-1)}+\cdots +A_0f=F\). Here, they use Nevanlinna's value distribution theory to investigate the complex oscillation of this system when the coefficients and the nonhomogeneous function \(F\) are transcendental entire functions of finite order, such that there ...
Chen, Zongxuan, Gao, Shian
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Entire Solutions to a Lattice Fisher-KPP System
Discrete and Continuous Dynamical Systems - B, 2023The authors study the following lattice system of Fisher-KPP type (with Dirichlet boundary condition at \(n=0\)): \[ u'_n(t)=u_{n+1}(t)-2u_n(t)+u_{n-1}(t)+f(u_n(t)), \quad n\in \mathbb{Z}. \] They first establish the existence of a unique positive stationary solution \(\{u_n\}\) and show its stability. Then they construct two types of entire solutions,
Cheng, Cui-Ping +2 more
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