In this paper, I mainly gain stability and asymptotic behavior of a different equation , a differential equation ,and a netrual integral-differential equation.
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.
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.
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 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……
Based on the finite different equations obtained from small perturbation theory and through a hyperbolic tangent transformation which maps the physical space into a cube, the three dimensional steady and non-steady transonic flows about wings had been computed. The use of relaxation method can reduces the demand on computer memory, and experience have been obtained through test runs. Calculated results are generally in good agreement with wind tunnel tests.
Based on the basic characteristics of the blood flow in human arteries, we estimated the magnitude order of every term in the Navier-Stokes equations describing the motion of the blood and in the Lamb equations describing the motion of the vessel wallo Then, we classified the human arteries into four different models refering to the numbers of Womerley's a and the rates of h/d (where his the thickness of the vessel wall and d is the diameter of the vessel). In this paper, we have derived different...
Based on the basic characteristics of the blood flow in human arteries, we estimated the magnitude order of every term in the Navier-Stokes equations describing the motion of the blood and in the Lamb equations describing the motion of the vessel wallo Then, we classified the human arteries into four different models refering to the numbers of Womerley's a and the rates of h/d (where his the thickness of the vessel wall and d is the diameter of the vessel). In this paper, we have derived different equations corresponding to the different models, then, from these equations, we have obtained, not only some classical expressions of wave speeds, but also some new wave speeds which were not found before.
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