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A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations

open access: yesAxioms, 2023
We consider a class of nonlinear integro-differential equations that model degenerate nonlocal diffusion. We investigate whether the strong maximum principle is valid for this nonlocal equation. For degenerate parabolic PDEs, the strong maximum principle
Tucker Hartland, Ravi Shankar
doaj   +5 more sources

A maximum principle for nonlinear differential inequalities

open access: yesApplied Mathematics Letters, 2003
Sufficient conditions are obtained in terms of \(\psi\) and \(f\) such that a nontrivial solution \(y(t)\) of the nonlinear differential inequality \[ y(t)\{(\psi(y'(t)))'+f(t,y(t))\}\leq0\tag{\(*\)} \] does not have a double zero for any \(t\) and each of \(y(t)\) and \(y'(t)\) has at most finite number of zeros on any compact interval \([a, b ...
Cheh-Chih Yeh
exaly   +2 more sources

The maximum principle for the nonlinear stochastic optimal control problem of switching systems

open access: yesJournal of Global Optimization, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charkaz Aghayeva
exaly   +4 more sources

Maximum Principle for Nonlinear Fractional Differential Equations with the Hilfer Derivative

open access: yesFractal and Fractional, 2023
In this paper, two significant inequalities for the Hilfer fractional derivative of a function in the space ACγ([0,b],Rn), 0≤γ≤1 are obtained. We first verified the extremum principle for the Hilfer fractional derivative.
Abu Bakr Elbukhari, Zhenbin Fan, Gang Li
doaj   +1 more source

Strong Maximum Principle for Viscosity Solutions of Fully Nonlinear Cooperative Elliptic Systems

open access: yesMathematics, 2021
In this paper, we consider the validity of the strong maximum principle for weakly coupled, degenerate and cooperative elliptic systems in a bounded domain.
Georgi Boyadzhiev, Nikolai Kutev
doaj   +1 more source

Maximum Principle for Variable-Order Fractional Conformable Differential Equation with a Generalized Tempered Fractional Laplace Operator

open access: yesFractal and Fractional, 2023
In this paper, we investigate properties of solutions to a space-time fractional variable-order conformable nonlinear differential equation with a generalized tempered fractional Laplace operatorby using the maximum principle. We first establish some new
Tingting Guan, Lihong Zhang
doaj   +1 more source

On discrete maximum principles for nonlinear elliptic problems [PDF]

open access: yesMathematics and Computers in Simulation, 2007
The authors give a short review of the most important results devoted to discrete counterparts of the maximum principle associated with scalar second-order elliptic equations (called discrete maximum principles, DMPs), mainly in the framework of the finite element method. They then present their own results on DMPs for a class of second-order nonlinear
Karátson, J.   +2 more
openaire   +2 more sources

Optimal paper web weight control system based on the Pontryagin’s maximum principle [PDF]

open access: yesE3S Web of Conferences, 2021
The paper describes the stages of paper production, considers the structure of a paper-making machine. Questions related to the proof and use of the Pontryagin’s maximum principle in the theory of optimal control are considered.
Lysova Natalia, Myasnikova Nina
doaj   +1 more source

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