In this paper,we study the existence of solutions to a third-order three-point boundary value problem.By imposing certain restrictions on the nonlinear term,we prove the existence of at least one solution to the boundary value problem by the method of lower and upper solutions.We are interested in the construction of lower and upper solutions.
Lixin Zhang 1,Bo Sun 2,Chunfeng Xing 1(1.Dept.of Basic Courses,Beijing Union University,Beijing 100101
In this paper,we apply a fixed point theorem to verify the existence of multiple positive solutions to a p-Laplacian boundary value problem.Sufficient conditions are established which guarantee the existence of multiple positive solutions to the problem.
Bo Sun(School of Applied Math.,Central University of Finance and Economics,Beijing 100081)