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
doaj +1 more source
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
doaj +1 more source
An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]
, 2006 In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, N., Schaft, A.J. van der
core +6 more sources
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
doaj +1 more source
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
core +3 more sources
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
doaj +1 more source
Hamilton-Jacobi theory in multisymplectic classical field theories [PDF]
, 2015 The geometric framework for the Hamilton-Jacobi theory developed in previous works is extended for multisymplectic first-order classical field theories.
de León, Manuel +3 more
core +3 more sources
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
core +2 more sources
Advances in High Energy Physics, 2013 The equivalence postulate of quantum mechanics offers an axiomatic approach to quantum field theories and quantum gravity. The equivalence hypothesis can be viewed as adaptation of the classical Hamilton-Jacobi formalism to quantum mechanics.
Alon E. Faraggi
doaj +1 more source
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
doaj +1 more source