Results 21 to 30 of about 11,651,840 (352)

Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 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 ...
S. Jimbo, Y. Morita
semanticscholar   +1 more source

Go-ICP: A Globally Optimal Solution to 3D ICP Point-Set Registration [PDF]

open access: yesIEEE Transactions on Pattern Analysis and Machine Intelligence, 2016
The Iterative Closest Point (ICP) algorithm is one of the most widely used methods for point-set registration. However, being based on local iterative optimization, ICP is known to be susceptible to local minima.
Jiaolong Yang   +3 more
semanticscholar   +1 more source

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

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

Solutions for Several Quadratic Trinomial Difference Equations and Partial Differential Difference Equations in C2

open access: yesAxioms, 2021
This article is to investigate the existence of entire solutions of several quadratic trinomial difference equations f(z+c)2+2αf(z)f(z+c)+f(z)2=eg(z), and the partial differential difference equations f(z+c)2+2αf(z+c)∂f(z)∂z1+∂f(z)∂z12=eg(z),f(z+c)2+2αf ...
Hong Li, Hongyan Xu
doaj   +1 more source

Multiple interpolation with the fast-growing knots in the class of entire functions and its application [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
The conditions for the sequence of complex numbers (bn,k) are obtained, such that the interpolation problem g(k-1)(λn) = bn,k, k ∈ 1, s, n ∈ N, where |λk/λk+1| ≤ ∆ < 1, has a unique solution in some classes of entire functions g for which Mg(r) ≤ c1 exp (
I. Sheparovych
doaj   +1 more source

Entire solutions of the Allen–Cahn–Nagumo equation in a multi-dimensional space

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2021
The Allen–Cahn–Nagumo equation is a reaction-diffusion equation with a bistable nonlinearity. This equation appears to be simple, however, it includes a rich behavior of solutions.
H. Ninomiya
semanticscholar   +1 more source

The study of solutions for several systems of PDDEs with two complex variables

open access: yesDemonstratio 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
doaj   +1 more source

Entire Solutions of [PDF]

open access: yesNagoya Mathematical Journal, 2005
The paper is concerned with description of entire solutions of the partial differential equations where m ≥ 2, n ≥ 2 are integers and g is a polynomial or an entire function in C2. Descriptions are given and complemented by various examples.
openaire   +1 more source

Entire solutions for several general quadratic trinomial differential difference equations

open access: yesOpen Mathematics, 2021
This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Luo Jun, Xu Hong Yan, Hu Fen
doaj   +1 more source

The Exact Solutions for Several Partial Differential-Difference Equations with Constant Coefficients

open access: yesMathematics, 2022
This article is concerned with the description of the entire solutions of several Fermat type partial differential-difference equations (PDDEs) μf(z)+λfz1(z)2+[αf(z+c)−βf(z)]2=1, and μf(z)+λ1fz1(z)+λ2fz2(z)2+[αf(z+c)−βf(z)]2=1, where fz1(z)=∂f∂z1 and fz2(
Hongyan Xu   +2 more
doaj   +1 more source

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