We evaluate the cubic interaction term in the action of open bosonic string field theory for Schnabl’s solution written in terms of Bernoulli numbers. This computation provides us with a new evidence for the fact that the string field equation of motion is satisfied when it is contracted with the solution itself. ∗[email protected]

We propose a boundary output feedback control law for a one-dimensional Euler-Bernoulli beam equation with general external disturbance entering the control end. A Galerkin approximation scheme is constructed to show the existence of solution to the closed-loop system. The exponential stability of the closed-loop system is obtained by the Lyapunov functional method. Numerical simulations are pr...

a single server queue with bernoulli vacation has been considered. in addition the admission to queue is based on a bernoulli process and the server gives two type of services. for this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. some performance measures are calculated. ...

This is a study concerning the identification of the heterogeneous flexural rigidity of a beam governed by the steady-state Euler-Bernoulli fourth order ordinary differential equation. We use the method of Variational Imbedding (MVI) to deal with the inverse problem for the coefficient identification from over-posed data. The method is identifying the coefficient by approximating it with a piec...

Abstract We show that solutions for a specifically scaled nonlinear wave equation of elasticity converge to linear Euler–Bernoulli beam system. construct an approximation the solution, using suitable asymptotic expansion ansatz based upon one-dimensional equation. Following this, we derive existence appropriately initial data and can bound difference between analytical solution approximating se...

Forecasting of underground pressure for working surface (UPWS) is very important in mining technology industry for safety production. These factors (roof lithologic, mining height of coal seam, geological structure, etc.) directly affect the difficulty of forecasting trends in this field. The original Grey Model is not hard to understand and very simple to calculate, with satisfactory accuracy,...

This paper applies one of the special cases auxiliary method, which is named as Bernoulli sub-equation function to nonlinear modified alpha equation. The characteristic properties these solutions, such complex and soliton are extracted. Moreover, strain conditions solutions also reported in detail. Observing figures plotted by considering various values parameters confirms effectiveness approxi...

Ever since the original reports by Hatle et al, echocardiography has been the mainstay for diagnosing the severity of aortic stenosis noninvasively. They reported that the modified Bernoulli equation could be applied to estimate the pressure drop across a valve and that the continuity equation could be used to estimate its area. The behavior of fluids is described by the Navier–Stokes different...

In this paper, a size-dependent formulation for the Bernoulli-Euler beam is developed based on a new model of couple stress theory presented by Hadjesfandiari and Dargush. The constitutive equation obtained in this new model, consists of only one length scale parameter that is capable of capturing the micro-structural size effect in predicting the mechanical behavior of the structure. Having on...