A release model for diffusion-controlled monolithic matrix coated with outer membrane system is proposed and solved by using the refined double integral method. The calculated results are in satisfactory agreement wit...A release model for diffusion-controlled monolithic matrix coated with outer membrane system is proposed and solved by using the refined double integral method. The calculated results are in satisfactory agreement with the experimental release data. The present model can be well used to describe the release process for all cd/cs values. In addition, the release effects of the monolithic matrix coated with outer membrane system are discussed theoretically.展开更多
In this paper, stochastic global exponential stability criteria for delayed im- pulsive Markovian jumping reaction-diffusion Cohen-Grossberg neural networks （CCNNs for short） are obtained by using a novel Lyapunov-K...In this paper, stochastic global exponential stability criteria for delayed im- pulsive Markovian jumping reaction-diffusion Cohen-Grossberg neural networks （CCNNs for short） are obtained by using a novel Lyapunov-Krasovskii functional approach, lin- ear matrix inequalities （LMIs for short） technique, Ito formula, Poincare inequality and Hardy-Poincare inequality, where the CGNNs involve uncertain parameters, partially un known Markovian transition rates, and even nonlinear p-Laplace diffusion （p 〉 1）. It is worth mentioning that ellipsoid domains in Rm （m 〉 3） can be considered in numerical simulations for the first time owing to the synthetic applications of Poincare inequality and Hardy-Poincare inequality. Moreover, the simulation numerical results show that even the corollaries of the obtained results are more feasible and effective than the main results of some recent related literatures in view of significant improvement in the Mlowable upper bounds of delays.展开更多
文摘A release model for diffusion-controlled monolithic matrix coated with outer membrane system is proposed and solved by using the refined double integral method. The calculated results are in satisfactory agreement with the experimental release data. The present model can be well used to describe the release process for all cd/cs values. In addition, the release effects of the monolithic matrix coated with outer membrane system are discussed theoretically.
基金supported by the National Basic Research Program of China(No.2010CB732501)the Scientific Research Fund of Science Technology Department of Sichuan Province(Nos.2010JY0057,2012JYZ010)+1 种基金the Sichuan Educational Committee Science Foundation(Nos.08ZB002,12ZB349)the Scientific Research Fund of Sichuan Provincial Education Department(Nos.14ZA0274,08ZB002,12ZB349)
文摘In this paper, stochastic global exponential stability criteria for delayed im- pulsive Markovian jumping reaction-diffusion Cohen-Grossberg neural networks （CCNNs for short） are obtained by using a novel Lyapunov-Krasovskii functional approach, lin- ear matrix inequalities （LMIs for short） technique, Ito formula, Poincare inequality and Hardy-Poincare inequality, where the CGNNs involve uncertain parameters, partially un known Markovian transition rates, and even nonlinear p-Laplace diffusion （p 〉 1）. It is worth mentioning that ellipsoid domains in Rm （m 〉 3） can be considered in numerical simulations for the first time owing to the synthetic applications of Poincare inequality and Hardy-Poincare inequality. Moreover, the simulation numerical results show that even the corollaries of the obtained results are more feasible and effective than the main results of some recent related literatures in view of significant improvement in the Mlowable upper bounds of delays.
