Application Of Critical Point Theory In The Study Of Several Kinds Of Nonlinear Differential Equations BVP

In this paper,we mainly consider the application of critical point theory in the study of boundary value problems of nonlinear differential equations.There are many results about boundary value problems of instantaneous impulsive dif?ferential equations,but few results are obtained by applying critical point theory to boundary value problems of non-instantaneous impulsive differential equation-s.In this paper,the existence of solutions for a class of fractional order non-instantaneous impulsive differential equations and a class of nonlinear Kirchhoff-type Schrodinger equations under Gaussian nonlocal conditions are given by using the critical point theory.A new examples of the critical point theory in the study of boundary value problems of nonlinear differential equations are given.