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Analysis of the Boundary Stability of a Diffusion-Reaction System on a Nanolayer
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作者 Tarik Boulahrouz Mohammed Filali +1 位作者 Jamal Messaho Najib Tsouli 《Journal of Applied Mathematics and Physics》 2024年第5期1682-1698,共17页
In this paper, the focus is on the boundary stability of a nanolayer in diffusion-reaction systems, taking into account a nonlinear boundary control condition. The authors focus on demonstrating the boundary stability... In this paper, the focus is on the boundary stability of a nanolayer in diffusion-reaction systems, taking into account a nonlinear boundary control condition. The authors focus on demonstrating the boundary stability of a nanolayer using the Lyapunov function approach, while making certain regularity assumptions and imposing appropriate control conditions. In addition, the stability analysis is extended to more complex systems by studying the limit problem with interface conditions using the epi-convergence approach. The results obtained in this article are then tested numerically to validate the theoretical conclusions. 展开更多
关键词 Limit Behavior Limit Problems Feedback Control epi-convergence Method Lyapunov Method NANOLAYER
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ON THE CONVERGENCE OF SAMPLING ALGORITHMS FOR SOWING DYNAMIC STOCHASTIC PROGRAMMING
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作者 CHEN Zhiping (Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, China) 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 2000年第4期397-406,共10页
After describing a general sampling discretization algorithm for multistage continuous stochastic programming problems, we prove the global convergence of the al- gorithm under suitable conditions. The convergence of ... After describing a general sampling discretization algorithm for multistage continuous stochastic programming problems, we prove the global convergence of the al- gorithm under suitable conditions. The convergence of most available algorithms as well as new algorithms can thus be derived or improved as a special case of this general result. 展开更多
关键词 Dynamic stochastic PROGRAMMING sampling tree normal INTEGRAND equi- LOWER SEMICONTINUITY epi-convergence.
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