Abstract In this paper we provide a stock price model that explicitly incorporates credit risk, under stochastic optimal control system. The also the managerial of risk through policy in We explicit conditions on existence feedback controls for with risk. prove continuity value function, and then dynamic programming principle our Finally, Viscosity Solution Hamilton–Jacobi–Bellman equation. Thi...

Abstract In this paper, a kind of magnetorheological elastomer sandwich plate is proposed. The novel nonlinear differential term applied to describe the force-displacement curve elastomer. constitutive model system established using Hamilton Modeling Principle. By Galerkin dispersion, response equation obtained, and its stochastic dynamic behavior discussed. numerical results are simulated by M...

An action integral is presented for Hamiltonian mechanics in canonical form with unilateral constraints and/or impacts. The transition conditions on generalized impulses and the energy are presented as variational inequalities, which are obtained by the application of discontinuous transversality conditions. The energetical behavior for elastic, plastic and blocking type impacts are analyzed. A...

This paper gives comparison principles for first-order PDEs of the Hamilton-JacobiBellman type that arise in the problem of filtering under unknown disturbances with set-membership bounds on the uncertainty. The exact solutions of this problem, given in set-theoretic terms as “information sets,” are expressed as level sets to the solutions of some specific types of the HJB equation. But these s...

The field equations of the generalized field theory (GFT) are derived from an action principle. A comparison between (GFT), Møller’s tetrad theory of gravitation (MTT), and general relativity is carried out regarding the Lagrangian of each theory. The results of solutions of the field equations, of each theory, are compared in case of spherical symmetry. The differences between the results are ...

In this paper, we develop a hybrid variational integrator based on the Jacobi-Maupertuis Principle of Least Action. The Jacobi-Maupertuis principle states that for a mechanical system with total energy E and potential energy V{q), the curve traced out by the system on a constant energy surface minimizes the action given by / y^2{E — V{q))ds where ds is the line element on the constant energy su...

An important component of Hamilton’s program for the Ricci flow on compact 3-manifolds is the classification of singularities which form under the flow for certain initial metrics. In particular, Type I singularities, where the evolving metrics have curvatures whose maximums are inversely proportional to the time to blow-up, are modelled on the 3-sphere and the cylinder S × R and their quotient...

The goal of restoring environmental health and qualities to Hamilton Harbour Great Lakes Area of Concern, an embayment at the western end of Lake Ontario, is considered to be achievable by the year 2015. Restoring Hamilton Harbour is a dynamic process that relies heavily on research and monitoring to direct remediation efforts. Three principle means of coordinating this research and monitoring ...

In this paper we present a general framework that allows one to study discretiza-tion of certain dynamical systems. This generalizes earlier work on discretization of Lagrangian and Hamiltonian systems on tangent bundles and cotangent bundles respectively. In particular we show how to obtain a large class of discrete algorithms using this geometric approach. We give new geometric insight into t...

We construct discrete analogues of Dirac structures by considering the geometry of symplectic maps and their associated generating functions, in a manner analogous to the construction of continuous Dirac structures in terms of the geometry of symplectic vector fields and their associated Hamiltonians. We demonstrate that this framework provides a means of deriving implicit discrete Lagrangian a...