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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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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The maximum principle with lack of monotonicity [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting.
Patrizia Pucci, Vicenţiu Rădulescu
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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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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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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 multiplicity theorem for parametric superlinear (p,q)-equations [PDF]
Opuscula Mathematica, 2020 We consider a parametric nonlinear Robin problem driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation). The reaction term is \((p-1)\)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition.
Florin-Iulian Onete +2 more
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A sufficient condition for null controllability of nonlinear control systems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 Classical control methods such as Pontryagin Maximum Principle and Bang-Bang Principle and other methods are not usually useful for solving opti-mal control systems (OCS) specially optimal control of nonlinear systems (OCNS).
A. Heydari, A.V. Kamyad
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