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QUALITATIVE ANALYSIS FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF CHEMICAL SYSTEMS
Periodic solution of Hopf type determina
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2007/12/10
摘要 In this paper a mathematical model of chemical systems is investigated. We present the conditions for the existence and local stability of the steady states and the periodic solution of the Hopf ty...
ON THE BOUNDARY STABILIZATION OF WAVE EQUATION WITH VARIABLE COEFFICIENT
Wave equation boundary feedback expone
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2007/12/10
摘要 This paper is concerned with the stabilization problem of wave equation with variable coefficient under boundary feedback control. It is shown that the energy of the system decays exponentially if ...
ULTIMATE STABILITY OF A TYPE OF CHARACTERISTIC EQUATION WITH DELAY DEPENDENT PARAMETERS
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2007/8/7
Delay differential systems are widely used in many different fields. It isimportant to determine the local stability of their equilibria. For systems withdelay dependent parameters, the stability anal...
FRACTIONAL ORDER EVOLUTION EQUATION INTERPOLATING BOTH HEAT AND WAVE EQUATION
Fractional evolution equation Mittag-Le
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2007/8/7
In this paper we consider a class of fractional order evolution equations which interpolates the heat equation and wave equation. By Mittag-Lefflers functions[1] and functions transform the representa...
THE RATIONALITY OF THE DISCRETE ORDINATES METHOD FOR TIME DEPENDENT NEUTRON TRANSPORT EQUATION
Discrete ordinate method neutron transp
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2007/8/7
We know that the discrete ordinates method is an important numerical method for solving transport equation. For the steady state transfer equations, the rationalities of this method have been proved b...
BOUNDARY LAYER ESTIMATION OF NONLINEAR ELLIPTIC EQUATION
Nonlinear singular perturbation boundar
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2007/8/7
In this paper, we consider the nonlinear elliptic equation... The limit problem is |u|^s=f on \Omega, where 00, for n\leq 4. Let d(x,\Gamma) be the distance from x to \Omega, let |\Omega| denote the m...
ANALYSIS OF BOUNDARY LAYER SINGULARITY OF A HYPERBOLIC EQUATION
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2007/8/7
Using the interpolation theory of a family of linear operators and the Sobolev spaces, we introduce a quantity J_∈~4(λ) which depicts the shape of the boundary layer, andthen analyze the boundary sing...
THE SOLUTION OF A PARAMETERIC EQUATION ARISING IN TRANSPORT THEORY
Transport equation δ-eigenvalue compa
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2007/8/7
This paper deals with the solution of a neutron transport equation with parameter δ. Using the theory of functional analysis, we discuss the distribution of the parameters which make the equationhave ...
PERIODIC SOLUTIONS OF THE JOSEPHSON EQUATION
Josephson equation periodic solutions
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2007/8/7
In this paper, the Josephson equation and its autonomous case are considered. It is shown that for |α|1 or β<γ<-1, there is no periodic solution of the autonomous Josephson equation, For the nonautono...
A MECHANIZATION METHOD OF GEOMETRY AND ITS APPLICATIONS Ⅲ.MECHANICAL PROVING OF POLYNOMIAL INEQUALITIES AND EQUATION-SOLVING
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2007/8/7
This is the third paper of the series entitled “A mechanization method of geometryand its applications”, cf.[WU3—5]. In the present paper it is shown how inequalities can be proved by means of the aut...