The Existence Of Oscillating Solutions On Advanced Functional Differential Equations Value Problems Are Discussed

This paper is concerned with the existence of oscillation solutions for some kinds ofadvanced functional differential equations based on the existing theory．The maindiscussion is divided into several parts as follows．The first chapter introduces the historical background and research dynamic of thevibration theory of functional differential equations．Then it gives some concepts andlemmas involved in this article．Finally，it discusses a oscillation comparison theorem fora kind of first-order functional differential equation with advanced argument by usingabsurdity，and makes use of the comparison theorem to give that the vibration of thesufficient conditions．The second chapter discusses the existence of solutions of a class of advancedintegral-differential equations problem，and using the Banach contraction mappingprinciple to prove the theorems on existence of bounded solutions．Then it studies thezero point distribution for a class of linear and non-linear first-order advanced functionaldifferential equation．The third chapter discusses the sufficient conditions of oscillation for advancedfunctional differential equations with single or multiple delays by using absurdity，fixedpoint theory and Banach contraction mapping principle．Furthermore，it discussesoscillation of pre-kind functional differential equations with oscillating coefficients．...