Taking the superstructure as elastomer and the simulating the time delay with a first order differential equation, the state equations of motion for this system were developed, the controllable friction force of sliding structure was calculated by using instantaneous optimal control method.

Discussed in this paper is a class of nonlinear parabolic differential equations with forced oscillation in various boundary conditions. Green's formula is used to study the forced and nonhomogeneous term of boundary conditions. Necessary conditions are thus obtained for the existence of nonoscillatory and positive solutions for a first order differential inequality.

In Chapter 3 of this paper, we present a first order differential equation system with barrier projection method for solving nonlinear complementarity problems.

The telegraph equations are discreted in time domain,a first order differential equation with respect to space is obtained,then by(using) the precise integration method,the transient response of the transmission lines can be obtained.

The method of proof is based on the integration of a first order differential inequality for a certain time weighted surface measure associated with the solution in question.

It will be shown briefly, that the build-up of the junction admittance from the bulk semiconductor to the junction interface can be given in terms of a first order differential equation.

The primary result is that instead of the familiar equation expressing the potassium conductance as a function of the variablen which obeys a first order differential equation, the expression, whereL = 2.7, is to be used.

A first order differential inequality is derived for the cross-sectional energy flux of the solution to the equation of constant mean curvature defined on a three-dimensional prismatic cylinder of convex cross-section.

A first order differential equation governing the time evolution of the crack damage variable is developed based on first principles of statistical physics.

This paper clarifies the nonlinear and non-stationary characteristics of transient vibration of a single-disk rotor system on anisotropic supports passing through critical point under limited energy supply by analytical dynamics and Bogoliubov-Mitropolskii asymptotic method. The governing equations for the motion of the system are finally reduced to a first order differential equation system capable of numerical integral solution. The influences of gyroscopic effect of the rotor, external and internal...

This paper clarifies the nonlinear and non-stationary characteristics of transient vibration of a single-disk rotor system on anisotropic supports passing through critical point under limited energy supply by analytical dynamics and Bogoliubov-Mitropolskii asymptotic method. The governing equations for the motion of the system are finally reduced to a first order differential equation system capable of numerical integral solution. The influences of gyroscopic effect of the rotor, external and internal damping as well as the initial phase angle of static unbalance on the transient response are discussed.

It is found that,in a first-order differential Raman spectrum,almost all noise peaks are confined within a narrow horizontal band-like region with the base line going through its middle,whereas thesignal peaks shoot up and down much far beyond the region.Based onthis property,a new peak searching method with the aid of first-order differentiation is suggested.In this paper,a R_(aman)spectrumpeak labelling program for SPEX 1403 laser spectrometer with DMIBcomputer is reported.The...

It is found that,in a first-order differential Raman spectrum,almost all noise peaks are confined within a narrow horizontal band-like region with the base line going through its middle,whereas thesignal peaks shoot up and down much far beyond the region.Based onthis property,a new peak searching method with the aid of first-order differentiation is suggested.In this paper,a R_(aman)spectrumpeak labelling program for SPEX 1403 laser spectrometer with DMIBcomputer is reported.The result of peak labelling shows that thescheme is effective.

Discussed in this paper is a class of nonlinear parabolic differential equations with forced oscillation in various boundary conditions. Green's formula is used to study the forced and nonhomogeneous term of boundary conditions. Necessary conditions are thus obtained for the existence of nonoscillatory and positive solutions for a first order differential inequality. Sufficient conditions are also established for solutions with oscillations.