Numerical Analysis of the Maximum Principle Boundary-Value Problem for the Influenza Virus Spread Model

2017 ◽  
Vol 28 (4) ◽  
pp. 561-571
Author(s):  
S. M. Orlov
Keyword(s):  
Influenza Virus ◽  
Numerical Analysis ◽  
Maximum Principle ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Virus Spread ◽  
The Maximum Principle ◽  
Spread Model

scholarly journals Regularized Asymptotics of the Solution of the Singularly Perturbed First Boundary Value Problem on the Semiaxis for a Parabolic Equation with a Rational “Simple” Turning Point

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 405
Author(s):  
Alexander Yeliseev ◽  
Tatiana Ratnikova ◽  
Daria Shaposhnikova
Keyword(s):  
Parabolic Equation ◽  
Maximum Principle ◽  
Boundary Value Problem ◽  
Regularization Method ◽  
Turning Point ◽  
Boundary Value ◽  
Singularly Perturbed ◽  
Asymptotic Convergence ◽  
The Maximum Principle ◽  
Regularized Asymptotics

The aim of this study is to develop a regularization method for boundary value problems for a parabolic equation. A singularly perturbed boundary value problem on the semiaxis is considered in the case of a “simple” rational turning point. To prove the asymptotic convergence of the series, the maximum principle is used.

scholarly journals Existence of Three Solutions for a Nonlinear Discrete Boundary Value Problem with ϕc-Laplacian

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1839 ◽  
Author(s):  
Yanshan Chen ◽  
Zhan Zhou
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Point Theory ◽  
Curvature Operator ◽  
Nontrivial Solutions ◽  
Three Solutions ◽  
The Maximum Principle ◽  
Mean Curvature Operator ◽  
The Mean

In this paper, based on critical point theory, we mainly focus on the multiplicity of nontrivial solutions for a nonlinear discrete Dirichlet boundary value problem involving the mean curvature operator. Without imposing the symmetry or oscillating behavior at infinity on the nonlinear term f, we respectively obtain the sufficient conditions for the existence of at least three non-trivial solutions and the existence of at least two non-trivial solutions under different assumptions on f. In addition, by using the maximum principle, we also deduce the existence of at least three positive solutions from our conclusion. As far as we know, our results are supplements to some well-known ones.

Numerical Analysis of the Failure Processes of Plates Made of S 960 QC Steel

2014 ◽  
Vol 598 ◽  
pp. 184-189 ◽  
Author(s):  
Andrzej Neimitz ◽  
Adrian Grzegorczyk
Keyword(s):  
Numerical Analysis ◽  
Maximum Principle ◽  
Ductile Failure ◽  
Geometrical Model ◽  
Thin Plates ◽  
Failure Plane ◽  
The Maximum Principle ◽  
Simple Geometrical Model

In the paper a simple geometrical model is proposed to explain the observation that in the certain thin plates made of steels the ductile failure plane is not inclined by 45 degrees to the plane of the maximum principle stress. This angle is smaller. The hypothesis was supported by results of the numerical observations.

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