In this paper, the notions of integral Φ0-stability of ordinary impulsive differential equations are introduced. The definition of integral Φ0-stability depends significantly on the fixed time impulses. Sufficient c...In this paper, the notions of integral Φ0-stability of ordinary impulsive differential equations are introduced. The definition of integral Φ0-stability depends significantly on the fixed time impulses. Sufficient conditions for integral Φ0-stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the solutions of given impulsive differential system to the solution of a vector valued impulsive differential system is also established.展开更多
The notions of practical φ0-stability were introduced for stochastic differential equations. Sufficient conditions on such practical properties were obtained by using the comparison principle and the cone-valued Lyap...The notions of practical φ0-stability were introduced for stochastic differential equations. Sufficient conditions on such practical properties were obtained by using the comparison principle and the cone-valued Lyapunov function methods. Based on an extended comparison theorem, a perturbation theory of stochastic differential systems was given.展开更多
To avoid the isolation between the external and the internal information of enterprise information systems, a four-layer integrated framework is proposed on the basis of integrating Web2. 0 and the service- oriented a...To avoid the isolation between the external and the internal information of enterprise information systems, a four-layer integrated framework is proposed on the basis of integrating Web2. 0 and the service- oriented architecture （SOA）, which contains the data layer, the service layer, the presentation layer and the collaboration layer. The presentation layer plays the key role, converging the external information from the collaboration layer to the inside of information system （IS）, and diffusing the internal information from the service layer to public users. This framework can also illustrate how users contribute to producing new services, and how web services are integrated to collaborate with public users.展开更多
文章对积分integral from 0 to ∞ ((sinx/x)dx)=π/2的五种证明方法作了分析整理:(Ⅰ)实函数法(Ⅰ)——变量代换法;(2)实函数法(Ⅱ)——含参变量积分法;(3)实函数法(Ⅲ)——Fourier展开法;(4)复函数法——围道积分法;(5)数理方程法—...文章对积分integral from 0 to ∞ ((sinx/x)dx)=π/2的五种证明方法作了分析整理:(Ⅰ)实函数法(Ⅰ)——变量代换法;(2)实函数法(Ⅱ)——含参变量积分法;(3)实函数法(Ⅲ)——Fourier展开法;(4)复函数法——围道积分法;(5)数理方程法——付氏积分法。并对integral from 0 to ∞((sinx/x)dx)=π/2的简单应用作了说明。展开更多
文摘In this paper, the notions of integral Φ0-stability of ordinary impulsive differential equations are introduced. The definition of integral Φ0-stability depends significantly on the fixed time impulses. Sufficient conditions for integral Φ0-stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the solutions of given impulsive differential system to the solution of a vector valued impulsive differential system is also established.
基金Project (60704007) supported by the National Natural Science Foundation of China
文摘The notions of practical φ0-stability were introduced for stochastic differential equations. Sufficient conditions on such practical properties were obtained by using the comparison principle and the cone-valued Lyapunov function methods. Based on an extended comparison theorem, a perturbation theory of stochastic differential systems was given.
基金Open Foundation of Key Laboratory of Information Management and Information Economics (NoF0607-42)
文摘To avoid the isolation between the external and the internal information of enterprise information systems, a four-layer integrated framework is proposed on the basis of integrating Web2. 0 and the service- oriented architecture （SOA）, which contains the data layer, the service layer, the presentation layer and the collaboration layer. The presentation layer plays the key role, converging the external information from the collaboration layer to the inside of information system （IS）, and diffusing the internal information from the service layer to public users. This framework can also illustrate how users contribute to producing new services, and how web services are integrated to collaborate with public users.
文摘文章对积分integral from 0 to ∞ ((sinx/x)dx)=π/2的五种证明方法作了分析整理:(Ⅰ)实函数法(Ⅰ)——变量代换法;(2)实函数法(Ⅱ)——含参变量积分法;(3)实函数法(Ⅲ)——Fourier展开法;(4)复函数法——围道积分法;(5)数理方程法——付氏积分法。并对integral from 0 to ∞((sinx/x)dx)=π/2的简单应用作了说明。
