The maximum and comparison principles for a system of two equations

被引：0

作者：

Portnyagin, D. V. ^{[1
]}

机构：

[1] Inst Condensed Matter Phys, Lvov, Ukraine

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 02期

关键词：

nondiagonal parabolic system; nondiagonal elliptic system; maximum principle; comparison principle;

D O I：

10.1134/S0037446612020115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a method of generalizing the well-known maximum and comparison principles to nondiagonal parabolic systems of second order nonlinear differential equations. Under consideration are the cases of Dirichlet and Neumann problems. We also present some examples of the systems that this method applies to.

引用

页码：291 / 300

页数：10

共 50 条

[31] Maximum principles and the method of upper and lower solutions for time-periodic problems of the telegraph equations [J].

Li, Yongxiang .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) :997-1009

[32] Maximum Principles and Applications for Fractional Differential Equations with Operators Involving Mittag-Leffler Function [J].

Mohammed Al-Refai .

Fractional Calculus and Applied Analysis, 2021, 24 :1220-1230

[33] Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations [J].

Ansgar Jüngel ;

Andreas Unterreiter .

Numerische Mathematik, 2005, 99 :485-508

[34] MAXIMUM PRINCIPLES AND APPLICATIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH OPERATORS INVOLVING MITTAG-LEFFLER FUNCTION [J].

Al-Refai, Mohammed .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021, 24 (04) :1220-1230

[35] Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations [J].

Domoshnitsky, Alexander ;

Maghakyan, Abraham ;

Shklyar, Roman .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,

[36] Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations [J].

Alexander Domoshnitsky ;

Abraham Maghakyan ;

Roman Shklyar .

Journal of Inequalities and Applications, 2009

[37] Principal eigenvalue, maximum principles and linear stability fornonlocal diffusion equations in metric measure spaces [J].

Rodriguez-Bernal, Anibal .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 221

[38] Comparison principles for systems of Caputo fractional order ordinary differential equations [J].

Wu, Cong .

CHAOS SOLITONS & FRACTALS, 2023, 171

[39] REGULARITY AND WEAK COMPARISON PRINCIPLES FOR DOUBLE PHASE QUASILINEAR ELLIPTIC EQUATIONS [J].

Riey, Giuseppe .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (08) :4863-4873

[40] Maximum principle for fully nonlinear equations via the iterated comparison function method [J].

Shigeaki Koike ;

Andrzej Święch .

Mathematische Annalen, 2007, 339 :461-484

← 1 2 3 4 5 →