The Convergence And Stability Analysis Of Solution On Set Control Differential Equations

This dissertation is composed of five chapters and mainly deal with the convergence andstability of set control differential equations. The three problems are of the following:The generalized quasilinearization of the solution on set control differential equations, thegeneralized quasilinearization of the solution on fuzzy control differential equations and the twomeasures stability and-stability analysis of the solution on set control differential equations.In chapter one, we give a survey to the development and current state of set control differ-ential equations as well as the main work status.In chapter two, set control differential equation is investigated. By using Gronwall inequal-ity and monotone iterative technique, constructing monotone sequence, obtain monotonicallyand quadratically convergence of the sequence.In chapter three, the notions of two measures stability are extended to set control differentialequations and stability criteria in terms of two measures for set control differential equationsare obtained.In chapter four, the notions of-stability are extended to set control differential equationsand stability criteria-stability for set control differential equations are obtained.In chapter five, fuzzy control differential equation is investigated. By using Gronwall in-equality and monotone iterative technique, constructing monotone sequence, obtain monotoni-cally and quadratically convergence of the sequence. Deeply by using the method of generalizedquasilinearization, obtain rapid convergence of the sequence.