Books by Kai Liu

This study examines and explains the relationship between social health insurance (SHI) participation and out-of-pocket expenditures (OOP) as well as the mediating role the institutional arrangement of SHI plays in this relationship in China.

This book offers a systematic presentation of the modern theory of the stability of stochastic differential equations in infinite dimensional spaces - particularly Hilbert spaces. The treatment includes a review of basic concepts and investigation of the stability theory of linear and nonlinear stochastic differential equations and stochastic functional differential equations in infinite dimensions. The final chapter explores topics and applications such as stochastic optimal control and feedback stabilization, stochastic reaction-diffusion, Navier-Stokes equations, and stochastic population dynamics. This book makes up-to-date material accessible and lays the foundation for future advances.

Presents the modern theory of the stability of stochastic differential equations in infinite dimensional spaces - particularly Hilbert spaces. This book reviews basic concepts and investigation of the stability theory of linear and nonlinear stochastic differential equations and stochastic functional differential equations in infinite dimensions.