Convergence For Some Causal Differential Equations

This paper is mainly applied quasilinearization method to causal differential equations anddiscusses the solution convergence of different types of causal differential equations. In Chap-ter1, we give a survey to the development and current state of causal differential equations, aswell as the main work status of this paper. In Chapter2, by using quasilinearization methodwe study general causal differential equations, obtaining two monotone uniformly convergencesequences to the unique solution and the convergence is k≥2. In Chapter3, by using quasi-linearization method we study hybrid causal differential equations, obtaining two monotoneuniformly convergence sequences to the unique solution and the convergence is k≥2. InChapter4, by using quasilinearization method we study causal fractional differential equation-s, obtaining two monotone uniformly convergence sequences to the unique solution and theconvergence is quadratic.