By means of Leray-Schauder fixed point theorems for set-alued maps are given,two existence results on the initial value problem for first differential inclusions and on the boundary problem for second differential inclusions are obtained.

In this paper,the theory 1 1 of is studied and popularized of great value,and the calculated methods for more first differential equations are studied with it.

In this paper, the author discusses the existence and the montone iterative technique of the solutions for terminal value problems of first differential equations in Banach space, if the one-sided condition of Lipschitiz, f(t, u)-f(t, u) ≤ N(i) (u - u), u≥u, or f(t, u)-f(i, u) ≥ N(i) (u - u), u ≥ u, is satisfied.

The data of NIR spectra, total sugar, reducing sugar and total nicotine from 198 tobacco samples were processed by four different data pre-processing approaches, baseline correction, decongvolution, first differential and second differential, and two different statistic methods, principle component regression (PCR) and partial least square (PLS). The respective NIR calibration models for total sugar, reducing sugar and total nicotine in tobacco were developed and the regressive parameters of those models were compared.

The peak potential is -0.82 V(vs.SCE) at first differential polarograph. The liner relationship between peak current and concentration of Eu(Ⅲ) is found in the range of 1.010~(-7)~8.010~(-6) mol/L. The limit of detection is 9.010~(-8) mol/L.

The first differential coefficient reaches negative significant level at 0.01 in blue edge range from 490 to 550 nm and the former part of red edge from 680 to 717 nm, positive significant level at 0.01 in yellow edge range from 557 to 668 nm and the latter part of red edge from 717 to 797 nm.

The Deborah Number,N_(De),is a rheologic characteristic of the viscoelasticity of a fluid and can be determined from experimental data of its first differential normal stress,τ_(11)-τ_(22),which,however,is too little to be measured by an ordinary rheome- ter for dilute polymer solutions.

(3) The analyzing method based on the variables of spectral position of "red edge" of cotton leaves, derived from the first differential spectral data, reveals that the change extent, shape and area of the "red edge" contain the information of various wavebands, and the capability of predicting N nutrient in cotton leaves and canopies can be provided by using the developed model based on the variables from these wavebands;

The first differential complex is an analogue of the de Rham complex.

The first differential approximation to finite-difference schemes for hyperbolic systems of equations

A variational principle is found which is of a first differential order and, contrary to the standard variational derivation of the Dirac equation, does not lead to any second type of constraints.

By factorizing the d'Alembertian operator into Dirac matrices, the Dirac equation in its original first differential form is obtained from the Evans wave equation.

The ionization efficiency data have been treated by the inverse convolution first differential technique.

The study of left ventricular performance in 100 children with congenital heart defects (TF, VSD, ASD and PDA) was carried out by the first differential admittance cardiogram, ECG, PCG and CAP recorded simultaneously. The results suggested that STI indices measured by admittance cardiogram and mechanocard-iogram exhibite significant correlation, and the actual values be closely approximate. Left ventricular performance measured by admittance cardiogram was consistent with clinical heart function in congenital...

The study of left ventricular performance in 100 children with congenital heart defects (TF, VSD, ASD and PDA) was carried out by the first differential admittance cardiogram, ECG, PCG and CAP recorded simultaneously. The results suggested that STI indices measured by admittance cardiogram and mechanocard-iogram exhibite significant correlation, and the actual values be closely approximate. Left ventricular performance measured by admittance cardiogram was consistent with clinical heart function in congenital heart defects. Analysis of multiple factors stepwise regression showed that changes of hemodynamics and pathologic malformation in TF existed a different influence to some parameters of left ventricular performance.

In this paper, the author discusses the existence and the montone iterative technique of the solutions for terminal value problems of first differential equations in Banach space, if the one-sided condition of Lipschitiz, f(t, u)-f(t, u) ≤ N(i) (u - u), u≥u, or f(t, u)-f(i, u) ≥ N(i) (u - u), u ≥ u, is satisfied.

In this paper, Riccati transfer matrix method and the component theory of forward and backward whirls are used to the eigenproblem of damped free whirling vibration of a flexible rotor with arbitrily distributed mass on isotropic or anisotropic supports regarding gyroscopic effects to find out its critical speeds and corresponding vibrational shape functions. The generalized damped mode theory is employed in combination with Bogoliubov-Mitropolskii asymptotic method to deduce twe systems of the first differential...

In this paper, Riccati transfer matrix method and the component theory of forward and backward whirls are used to the eigenproblem of damped free whirling vibration of a flexible rotor with arbitrily distributed mass on isotropic or anisotropic supports regarding gyroscopic effects to find out its critical speeds and corresponding vibrational shape functions. The generalized damped mode theory is employed in combination with Bogoliubov-Mitropolskii asymptotic method to deduce twe systems of the first differential equations which are numerically integrated to compute transient responses of the rotor passing through its critical speeds in cases of forward whirl and backward whirl respectively with limited power supply. At the same time, the nonlinear and non-stationary vibration of the rotor through two neighboring critical speeds with coupling is solved.