| Stability is one of the basic subjects that people face with in various dynamical systemsthat include all kinds of industrial systems. This thesis is devoted to the study of stabilityproblem of perturbed set differential equations. The paper is composed of five chapters. InChapter one, the subject of significance and research situation of the perturbed set differentialequations systems are introduced as well as the main work of the paper. In Chapter two, theperturbed set integro-differential equations with fixed moments of impulse are studied by usingthe cone Lyapunov function method. Giving a comparison theorem and proving the system isuniformly φ0stable under certain conditions. In Chapter three, the stability of the set integro-differential equations with initial time difference are considered. Obtaining the solutions of setintegro-differential equations are strict stability. In Chapter four, the stability of the perturbedset differential equations with initial time difference are considered. Using the comparativemethod and obtaining the solutions of perturbed set differential equations are strict stability interms of two measures. In Chapter five, a brief summary of this thesis and some advices aboutfurther development for the theory of set differential equations are advanced. |
