Results 1 to 10 of about 4,205,835 (294)
A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations
Axioms, 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
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Strong Maximum Principle for Viscosity Solutions of Fully Nonlinear Cooperative Elliptic Systems [PDF]
Mathematics, 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
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Maximum principle for a nonlinear size-structured model of fish and fry management [PDF]
Nonlinear Analysis, 2018 This paper investigates the maximum principle for a nonlinear size-structured model that describes the optimal management of the fish resources taking into account harvesting the fish and putting the fry.
Rong Liu, Guirong Liu
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Fractal 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
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Maximum Principle for Nonlinear Fractional Differential Equations with the Hilfer Derivative
Fractal 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
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Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators [PDF]
Nonlinear Analysis, 2020 In this paper, optimal control problems containing ordinary nonlinear control systems described by fractional Dirichlet and Dirichlet–Neumann Laplace operators and a nonlinear integral performance index are studied. Using smooth-convex maximum principle,
Rafał Kamocki
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Twin positive solutions for resonant singular (p,q)-equations
Electronic Journal of Differential Equations, 2021 We consider a Dirichlet (p,q)-equation with a reaction having the combined effects of a singular term and of a resonant perturbation. Using an auxiliary problem to bypass the singularity and variational tools from critical point theory, with truncation ...
Florin I. Onete +2 more
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On discrete maximum principles for nonlinear elliptic problems [PDF]
Mathematics 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
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Optimal paper web weight control system based on the Pontryagin’s maximum principle [PDF]
E3S 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
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A maximum principle for nonlinear differential inequalities
Applied 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 ...
Chung-Fen Lee, Cheh-Chih Yeh
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