Existence of solutions for a class of third-order nonlinear boundary value problems

In this paper, we are concerned with the following third-order ordinary differential equation: with the nonlinear boundary conditions where <f>A,B∈R</f>, <f>f :[0,1]×R3→R</f> is continuous, <f>g,h:R2→R</f> are continuous. The existence result is given by using a priori estimate, Nagumo condition, upper and lower solutions and Leray–Schauder degree, and we give an example to demonstrate our result. [Copyright &y& Elsevier]