This paper derives the optimal debt ratio and dividend payment strategies for an insurance company. Taking into account the impact of reinsurance policies and claims from the credit derivatives, the surplus process is stochastic that is jointly determined by the reinsurance strategies, debt levels, and unanticipated shocks. The objective is to maximize the total expected discounted utility of d...

Abstract In order to study the vibration of composite wind turbine blades, a Green’s function method for frequency calculation is proposed. Based on variational asymptotic and Hamilton principle, mechanical model blade, modelled as box beam with laminated structure, established by using circumferential asymmetric stiffness design. The Green used analyze blades from aspect ply angle, numerical e...

The optimal visiting problem is the optimization of a trajectory that has to touch or pass as close possible collection target points. does not verify dynamic programming principle, and it needs specific formulation keep track visited In this paper, we introduce hybrid approach by adding discontinuous part switching between group discrete states related targets. Then, show well-posedness Hamilt...

<p style='text-indent:20px;'>We prove the comparison principle for viscosity sub and super solutions of degenerate nonlocal operators with general gradient nonlinearities. The proofs apply to purely Hamilton-Jacobi equations order <inline-formula><tex-math id="M1">\begin{document}$ 0<s<1 $\end{document}</tex-math></inline-formula>.</p>

The authors’ recent paper in Reports in Mathematical Physics develops Dirac reduction for cotangent bundles of Lie groups, which is called Lie– Dirac reduction. This procedure simultaneously includes Lagrangian, Hamiltonian, and a variational view of reduction. The goal of the present paper is to generalize Lie–Dirac reduction to the case of a general configuration manifold; we refer to this as...

We propose a simple, fast sweeping method based on the Lax–Friedrichs monotone numerical Hamiltonian to approximate viscosity solutions of arbitrary static Hamilton–Jacobi equations in any number of spatial dimensions. By using the Lax–Friedrichs numerical Hamiltonian, we can easily obtain the solution at a specific grid point in terms of its neighbors, so that a Gauss–Seidel type nonlinear ite...

Key aspects of the manifestly-covariant theory of quantum gravity (Cremaschini and Tessarotto 2015–2017) are investigated. These refer, first, to the establishment of the four-scalar, manifestly-covariant evolution quantum wave equation, denoted as covariant quantum gravity (CQG) wave equation, which advances the quantum state ψ associated with a prescribed background space-time. In this paper,...

In their never-ending search for general principles, from which various laws of Physics could be derived, physicists, and most notably theoretical physicists, have often made use of variational techniques. These usually involved the minimisation of certain quantities. A typical example is Fermat’s principle of least time where light, propagating between two distant points in space, is postulate...

objective : patients with chronic physical diseases sometimes show increased loss of function; such patients need more care. anxiety is a well-known symptom that is prevalent among chronic obstructive pulmonary disease patients that can prolong and increase the risk of hospitalization. the purpose of this study was to evaluate the severity of anxiety in the mentioned patients and to examine the...