In this paper,by constructing a special cone and using fixed point theorem on cone,the existence of at least one positive unbounded solutions of infinite boundary value problem of a class of singular differential equations is obtained.

In this paper,by constructing a special cone and using the fixed point theorem of cone expansion-compression type,the existence of at least one positive unbounded solutions of infinite boundary value problem for a class of second-order singular differential equation is proved.

<Abstrcat>In this paper,we use the fixed point index theory to investigate the existence of multiple positive solutions for some singular semi-positone m-point boundary value problems of higher order differential equations.

We used the fixed point index theorem in a cone to investigate the existence of multiple positive solutions for boundary value problem of a second-order singular functional differential equation of mixed type.

Positive solution and multiple positive solutions of singular boundary value problems of fourth order differential equations;

Existence of multiple positive solutions for a class of nonlinear singular boundary value problems;

Using the fixed point theorem on cones, some results are obtained on the existence of at least one and multiple positive solutions for nonlinear singular impulsive boundary value problems in Banach space.