Study Of Nonlinear Forth-order Ordinary Differential Equation Boundary Value Problems In Banach Spaces

The existence of solutions of a series of fourth-order boundary value problems in Banach spaces are systematically studied by means of many kinds of fixed point theorems and some other effective methods. And a number of sufficient conditions about the existence of solutions are obtained. Tow-point boundary value problems, multi-point boundary value problems, periodic boundary value problems and integral-differential boundary value problems are included.