| Differential equation has a dynamic and profound the background. It is a very useful instruments to analyze and solve the problem in modern science and technology. In actual usage, many problems have to be solved boils down to the differential equation. Thus, it is important to study the boundary value problems of differential equations. With the development of science and technology, more and more scholars and experts focus on the multi-point boundary value problem of ordinary differential equations in Banach space. By using fixed point theory of strict set contraction, the existence of one, two and multiple positive solutions for multi-point boundary value problem is investigated by constructing a suitable cone and imposing growth conditions on the nonlinear term. |
