Results 11 to 20 of about 228,562 (313)

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., Korotov, S., Křížek, M. (Michal)   +2 more
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Discrete maximum principles for nonlinear parabolic PDE systems [PDF]

IMA Journal of Numerical Analysis, 2012
Discrete maximum principles (DMPs) are established for finite element approximations of systems of nonlinear parabolic partial differential equations with mixed boundary and interface conditions. The results are based on an algebraic DMP for suitable systems of ordinary differential equations.
Faragó, I., Karátson, J., Korotov, S.
openaire   +2 more sources

Stochastic Maximum Principle for Optimal Control of a Class of Nonlinear SPDEs with Dissipative Drift [PDF]

SIAM Journal of Control and Optimization, 2015
We prove a version of the stochastic maximum principle, in the sense of Pontryagin, for the finite horizon optimal control of a stochastic partial differential equation driven by an infinite dimensional additive noise.
M. Fuhrman, Carlo Orrieri
semanticscholar   +1 more source

A new approach to the Pontryagin maximum principle for nonlinear fractional optimal control problems [PDF]

, 2015
In this paper, we discuss a new general formulation of fractional optimal control problems whose performance index is in the fractional integral form and the dynamics are given by a set of fractional differential equations in the Caputo sense.
H. Ali, F. Pereira, S. Gama
semanticscholar   +1 more source

Maximum Principle for Space and Time-Space Fractional Partial Differential Equations [PDF]

Zeitschrift für Analysis und ihre Anwendungen, 2020
In this paper we obtain new estimates of the sequential Caputo fractional derivatives of a function at its extremum points. We derive comparison principles for the linear fractional differential equations, and apply these principles to obtain lower and ...
M. Kirane, B. Torebek
semanticscholar   +1 more source

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 ...
Lee, Chung-Fen, Yeh, Cheh-Chih
openaire   +1 more source

Maximum principle for a nonlinear size-structured model of fish and fry management

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
doaj   +1 more source

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, Nikolaos S. Papageorgiou, Calogero Vetro   +2 more
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Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators

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
doaj   +1 more source

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
doaj   +1 more source