The Existence And Multiplicity Solutions Of Fourth-Order Impulsive Differential Equations Via Variational Methods

This paper mainly study the existence and multiplicity of kinds of fourth-order impulsive differential equations.With different impulsive equations, different variational structure are set up to establish the existence and multiplicity results via the classical variational techniques and critical point theory.This paper consists of three chapters.In Chapter 1, We outlined the critical point theory,preparations, historical background and the main works of this paper.In Chapter 2, We study the existence and multiplicity of some kinds of fourth-order differential equations. by employing minimization principle, Mountain Pass lemma, we obtain the existence and multiplicity of Linear and nonlinear impulsive equations.In Chapter 3, We primarily use minimization principle to study the existence of a class of second-order Partial differential equation.