By constructing the Lyapunov function with a special structure, prior estimate and the solution of ordinary different equation, we prove the main result, i.e., the trivial solution has global asymptotic stable behavior.

In this paper, I mainly gain stability and asymptotic behavior of a different equation , a differential equation ,and a netrual integral-differential equation.

At last,we give two examples to explain that when the state space containing absorbing state,we can also calculate absorbing probabilities by different equation.

In this paper, the different equation dx/dt=-y(1-ax~ 2n )+bx-cx~ 2n+1 , dy/dt=x(1-ax~ 2n ) was studied, and some condition were obtained to guarantee the existence and uniqueness of limit cycle for the given system .

The results were as follows:(1)The degradation of parathion in rape included two phases: physical degradation and chemical degradation,whichcould be described with the different equation: C_(t)=C_(0) e~(-kt),the half life was 23.05 h~25.85 h.

Based on different equation of Cobb\|Douglas production function, the model of regulating regional economy on the multi-objective optimization of efficiency and equity is set up, with the spatial distribution strategy of capital and labour force as the controlling variable.

The relation between chemical potential and compo- sition was calculated using different equation of state,namely Peng-Robinson(PR),Redlich-Kwong(RK),Van der Waals(VdW) and Virial equations. The average deviation is less than 5%.

结果表明采用Peng-Robinson(PR),Redlich-Kwong(RK)及Van der Waals(VdW)方程计算化学势与组分关系而得到的模拟结果优于Virial方程,且平均误差在5%之内。

The same paradigm applies to the superfluid transition temperature of liquid4He, but results in a slightly different equation.

We consider the asymptotic solution of the Tonks-Langmuir integro-different equation with an Emmert kernel, which describes the behavior of the potential both inside the main plasma volume and in a thin boundary layer.

A similar situation occurs when the wedge is anisotropic except that 2α* is governed by a different equation and depends on material properties.

The relationship between the actual and geostrophic winds is described using three different equation sets.

The conversion from neutron stars with different equation of states (EOSs) for neutron matter into strange stars with different EOSs for strange quark matter has been studied in a general relativistic numerical calculation in this paper.

The paper is divided into two parts. The first of these gives a general discussion of the curvilinear congruences. At the beginning, two expansions of the dyadics t and t×t are found, where t is the unit vector tangent to the curve of the congruence. By these results, the formulae of zero tendency and that of zero moment have been established. After this, it gives the value of the divergence of the veetor t div t—t·t and that of the function t·(t)2·t, these expansions indicate the equivalence of the equations...

The paper is divided into two parts. The first of these gives a general discussion of the curvilinear congruences. At the beginning, two expansions of the dyadics t and t×t are found, where t is the unit vector tangent to the curve of the congruence. By these results, the formulae of zero tendency and that of zero moment have been established. After this, it gives the value of the divergence of the veetor t div t—t·t and that of the function t·(t)2·t, these expansions indicate the equivalence of the equations div(t div t—t·t)=0 and t·(pt)2·t=0, and the inconsistence between the two different equations of limit surfaces, which are obtained by different methods by C. E. Weatherburn in 1927-1929. But they have no contradiction only in the case of normal congruences. In the second part of the paper contains the extension of the Tchebychef systems of surfaces in the space. By the results of the first part, various theorems are proved connecting the parallel displacement along the parametric curves. Finally for the coordinates congruences, it finds the equations of focal surface, of limit surface, of Ultimate surface……

The diffusion coefficient of hydrogen in an iron membrane was measured using slightly improved electrochemical hydrogen permeation technique. Corresponding to the assumptions of constant hydrogen concentration and constant hydrogen flux on the cathodic side of the membrane, two different equations for estimation of the diffusion coefficient were derived. The criteria for choosing suitable equations are discussed. It is pointed out that the equation associated with constant hydrogen concentration...

The diffusion coefficient of hydrogen in an iron membrane was measured using slightly improved electrochemical hydrogen permeation technique. Corresponding to the assumptions of constant hydrogen concentration and constant hydrogen flux on the cathodic side of the membrane, two different equations for estimation of the diffusion coefficient were derived. The criteria for choosing suitable equations are discussed. It is pointed out that the equation associated with constant hydrogen concentration must be applied here. The obtained value of D is 4.3 ±0.3× 10-7cm2/sec, which is in harmony with the data from non-electrochemical methods.

Mineral separation method was employed to separate the principal granular constituentsfrom fly ash into vitreous low iron spheres, vitreous high iron spheres, porous low iron glassand porous carbon. Their physico-chemical properties and activities were also examined. Experiments indicate that vitreous low iron spheres show higher activity whereas vitreoushigh iron spheres show lower activity. 35 fly ashes were collected from different areas of Chinafor determination of their chemical and mineral compositions,...

Mineral separation method was employed to separate the principal granular constituentsfrom fly ash into vitreous low iron spheres, vitreous high iron spheres, porous low iron glassand porous carbon. Their physico-chemical properties and activities were also examined. Experiments indicate that vitreous low iron spheres show higher activity whereas vitreoushigh iron spheres show lower activity. 35 fly ashes were collected from different areas of Chinafor determination of their chemical and mineral compositions, physical properties and acti-vities. According to mathematic statistical analyse, the factors inf1uencing fly ash activityvaried with the uses of fly ash for which different equations were derived to express theirrespective strength activities. For example, when fly ash is used as a partial replacementfor cement, its activity equation is as follows: Y_(28)=448.06-15.35X_1-1.89X_2+1.94X_3+73.47Xwhere: Y_(28)—regressive value for fly ash cement of 28 days compressive strength(kg/cm~2); X_1—content of fly ash grains of sizes>88μm(%); X_2—water requirement for fly ash cement under normal consistancy; X_3—content of low iron glass(%); X_4—content of SO_3(%). The activity equations established by the mathematic statistical method are relativelyhigh in accuracy, thus rendering possible the prediction of the activity of fly ash, especiallywhen it is used as cement admixture. As the activity of fly ash is somewhat varying whenit is applied to various uses, the aetivity equations should find their use in the rationalutilization of fly ash resources.