Existence Of Solutions For Impulsive Neutral Differential Inclusions

The dissertation mainly deals with the existence of solutions for impulsive neutral differential inclusions by using the fixed point theorem for multivalued maps due to Dhage, Hausdorff measure of noncompactness and Schauder fixed point theorem. Via improve and generalize some existing model and assumption in the literature, we have obtained some new results. It is consists of four chapters.In Chapter 1, introduce the background and significance, status, main works of this dissertation and some preliminary tools.In Chapter 2, we discuss the existence results of second-order impulsive neu-tral functional differential inclusions in Banach spaces. Via improve and generalize some existing method and assumption in the literature, this chapter by using the fixed point theorem for multivalued maps due to Dhage to discuss the existence of solutions.In Chapter 3, we discuss controllability of non-densely defined impulsive neu-tral integrodifferential inclusions with infinite delays. Via improve and generalize some existing model and method in the literature, this chapter by using the fixed point theorem for multivalued maps due to Dhage to discuss the existence of solutions, we have obtained a new result.In Chapter 4, we disscuss the existence for impulsive neutral integrodiffer-ential inclusions with nonlocal initial conditions via fractional operators. Via improve and generalize some existing method and assumption in the literature, this chapter by using theory on measures of noncompactness and Shauder fixed point theorem to discuss the existence of solutions.