Optimal Consumption in a Stochastic Ramsey Model with Cobb-Douglas Production Function
International Journal of Mathematics and Mathematical Sciences, 2013 A stochastic Ramsey model is studied with the Cobb-Douglas production function maximizing the expected discounted utility of consumption. We transformed the Hamilton-Jacobi-Bellman (HJB) equation associated with the stochastic Ramsey model so as to ...
Md. Azizul Baten, Anton Abdulbasah Kamil
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Quantization of Hamiltonian and non-Hamiltonian systems
Communications in Analysis and Mechanics, 2023 The quantization process was always tightly connected to the Hamiltonian formulation of classical mechanics. For non-Hamiltonian systems, traditional quantization algorithms turn out to be unsuitable. Numerous attempts to quantize non-Hamiltonian systems
Sergey A. Rashkovskiy
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Optimal Defined Contribution Pension Management with Jump Diffusions and Common Shock Dependence
Mathematics, 2023 This work deals with an optimal asset allocation problem for a defined contribution (DC) pension plan during its accumulation phase. The contribution rate is assumed to be proportional to the individual’s salary.
Wujun Lv, Linlin Tian, Xiaoyi Zhang
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Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches [PDF]
ESAIM: Proceedings and Surveys, 2020 Horizontal gene Transfer (HT) denotes the transmission of genetic material between two living organisms, while the vertical transmission refers to a DNA transfer from parents to their offspring.
Calvez Vincent +5 more
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A Discrete Hamilton–Jacobi Theory for Contact Hamiltonian Dynamics
MathematicsIn this paper, we propose a discrete Hamilton–Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geometric Hamilton–Jacobi theory for continuous contact Hamiltonian dynamics ...
Oğul Esen +2 more
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The representation formula for solutions of some class Hamilton–Jacobi equations
Lietuvos Matematikos Rinkinys, 2011 The lower semicontinious solutions of Hamilton–Jacobi equation are contructed by Hopf formula, when hamiltonian is maximum of linear functions.
Gintautas Gudynas
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Discrete Hamilton-Jacobi Theory
, 2011 We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in time.
Anthony M. Bloch +3 more
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Covariant GUP Deformed Hamilton-Jacobi Method
Advances in High Energy Physics, 2017 We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
Benrong Mu, Peng Wang, Haitang Yang
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Nonholonomic Hamilton-Jacobi Theory via Chaplygin Hamiltonization
, 2011 We develop Hamilton-Jacobi theory for Chaplygin systems, a certain class of nonholonomic mechanical systems with symmetries, using a technique called Hamiltonization, which transforms nonholonomic systems into Hamiltonian systems.
Abraham +32 more
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Bounded-From-Below Solutions of the Hamilton-Jacobi Equation for Optimal Control Problems with Exit Times: Vanishing Lagrangians, Eikonal Equations, and Shape-From-Shading [PDF]
, 2003 We study the Hamilton-Jacobi equation for undiscounted exit time control problems with general nonnegative Lagrangians using the dynamic programming approach.
Malisoff, Michael
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