Convergence of certain transforms of Markov processes generators implies large deviations. In this article, we apply abstract theorems of such type to stochastic evolution equations in real separable Hilbert space, giving diierent perspectives and extensions to some known results. When the drift term is semilinear, the rate function is explicitly identiied. The main large deviation theorem 18 3...

We explore the approximation of feedback control integro-differential equations containing a fractional Laplacian term. To obtain for state variable this nonlocal equation, we use Hamilton–Jacobi–Bellman equation. It is well known that approach suffers from curse dimensionality, and to mitigate problem couple semi-Lagrangian schemes discretization dynamic programming principle with Shepard appr...

Abstract The functionally graded plates (FGP) with two new porosity distributions are examined in this paper. In work the plate is modeled using higher-order shear deformation principle. correction variables neglected. To evaluate equations of motion, Hamilton method will be used herein. Therefore, free vibration analysis FG developed work. For porous smart simply-supported sides, natural frequ...

X iv :p hy si cs /9 90 30 15 v1 [ ph ys ic s. cl as sph ] 9 M ar 1 99 9 Unified Descriptions Of All Integral Variational Principles Y. C. Huang 1 A. M. Li M. X. Shao X. G. Li Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, P. R. China Department of Physics, Beijing Normal University, Beijing 100082, P. R. China INFN, Sezione di Catania, Corso Italia 57, I-95129 Ca...

This study explores the emission of massive charged spin-1 particles from background Bardeen regular spacetime by semi-classical method used to Hawking radiation spectrum. We employed Hamilton-Jacobi and WKB approximation technique with suitable form wave function solve Proca field equation. calculated tunneling probability outgoing corresponding thermodynamic temperature. Furthermore, we obtai...

This paper provides an extension for Hawking temperature of Reissner-Nordstr$\ddot{o}$m-de Sitter (RN-DS) black hole (BH) with global monopole as well $5$D charged hole. We consider the holes metric and investigate effects quantum gravity ($\alpha$) on radiation. boson particles tunneling through horizon by using Hamilton-Jacobi ansatz phenomenon. In our investigation, we study radiation to ana...

The dynamics of some non-conservative and dissipative systems can be derived by calculating the first variation an action-dependent action, according to variational principle Herglotz. This is directly analogous Hamilton commonly used derive conservative systems. In a similar fashion, just as second system's action infer whether that possible trajectories are dynamically stable, so too stable. ...

The scale effect of carbon nanotubes (CNTs) in the macro CNT-reinforced composites (CNTRCs) is analyzed, and free vibration characteristics a composite beam resting on viscoelastic foundation were studied. By combining nonlocal theory with Eshelby–Mori–Tanaka (EMT) method, EMT constitutive equation considering CNTs CNTRCs proposed. Based Timoshenko theory, governing equations corresponding boun...

In this paper, we consider boundary-value problems for a new class of hybrid systems differential equations whose coefficients contain the Dirac delta-function. Hybrid are that both ordinary and partial equations; such appear, example, when motion mechanical rigid bodies attached to beam by elastic bonds derived from Hamilton–Ostrogradsky variational principle. We present examples lead introduc...

This paper analyzes a class of impulse control problems for multidimensional jump diffusions in the finite time horizon. Following the basic mathematical setup from Stroock and Varadhan [Multidimensional Diffusion Processes, Springer-Verlag, Heidelberg, 2006], this paper first establishes rigorously an appropriate form of the dynamic programming principle. It then shows that the value function ...