Results 71 to 80 of about 3,032,260 (171)

Mathematical analysis of campylobacteriosis disease model in human with saturated incidence rate and treatment

Mathematics Open
This study focuses on campylobacteriosis, a common bacterial infection caused by Campylobacter species. The disease is primarily transmitted through contaminated food and water.
Furaha Michael Chuma, Edward Kanuti Ngailo   +1 more
doaj   +1 more source

Optimal Control Strategies in an Alcoholism Model

Abstract and Applied Analysis, 2014
This paper presents a deterministic SATQ-type mathematical model (including susceptible, alcoholism, treating, and quitting compartments) for the spread of alcoholism with two control strategies to gain insights into this increasingly concerned about ...
Xun-Yang Wang, Hai-Feng Huo, Qing-Kai Kong, Wei-Xuan Shi   +3 more
doaj   +1 more source

Optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle considering the influence of concentrated mass

Vietnam Journal of Mechanics, 2017
In this paper, the problem of optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle (PMP) considering the influence of concentrated mass is presented.
Bui Hai Le, Tran Minh Thuy
doaj   +1 more source

A class of highly degenerate elliptic operators: maximum principle and unusual phenomena

, 2017
We discuss the validity of the maximum principle below the principal eigenvalue for viscosity solutions of the Dirichlet problem in bounded domains $$ {\cal P}^-_{k}(D^2u)+H(x,\nabla u)+\mu u=0\quad\mbox{in}\;\Omega,\quad u=0\quad\mbox{on}\;\partial ...
Galise, Giulio
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A computational and geometric analysis of economic dynamics using Pontryagin’s maximum principle: advanced numerical simulations perspective

Discover Applied Sciences
This research develops and implements a comprehensive Python-based computational framework for solving optimal control problems in economic dynamics using Pontryagin’s Maximum Principle (PMP).
Walle Tilahun, Bayenes Ayenew, Sefinew Atinafu, Silabat Enyew   +3 more
doaj   +1 more source

Pontryagin’s Principle for Some Probabilistic Control Problems

In this paper we investigate optimal control problems perturbed by random events. We assume that the control has to be decided prior to observing the outcome of the perturbed state equations.
Van Ackooij, Wim, Henrion, René, Zidani, Hasnaa   +2 more
core   +1 more source

A simple proof of the maximum principle with endpoint constraints [PDF]

, 2014
The paper presents a new, relatively simple proof of Pontryagin’s maximum principle for the canonical problem of optimal control, with equality and inequality constraints imposed on the trajectory endpoints.
Korytowski, A.
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The Maximum Principle for an Optimal Solution to a Differential Inclusion with End Points Constraints

, 1987
We derive Pontryagin’s maximum principle for a general optimal control problem using the set-valued version of variational equation. We achieve this aim by exploiting an adequate differential calculus of set-valued maps.
Frankowska, Halina
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The Pontryagin maximum principle from dynamic programming and viscosity solutions to first-order partial differential equations

, 1986
We prove the Pontryagin Maximum Principle for the Lagrange problem of optimal control using the fact that the value function of the problem is the viscosity solution of the associated Hamilton-Jacobi-Bellman equation.
Robert Jensen, Emmanuel Nicholas Barron
core   +1 more source

Necessity of the Transversality Condition for Stochastic Models with CRRA Utility [PDF]

This paper shows that the standard transversality condition (STVC) is necessary for optimality for stochastic models with constant-relative-risk-aversion (CRRA) utility under general conditions.
Takashi Kamihigashi
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