| Boundary value problems for differential equations are an important branch of dif-ferential equations.In this paper,by using cone expansion and compression fixed point theorem, we obtain the existence and multiplicity of pseudo-antisymmetry positive so-lutions of boundary value problems for second order four-point nonlinear differential equations.By applying a new version of Leggett-Williams’multiple fixed point theorem,we consider the existence of pseudo-symmetric solutions to boundary value problems for second order impulsive differential equations. |