Abstract: This
paper considers the existence and uniqueness of solutions for the fourth-order
two point boundary value problem
where is the function satisfying Carathéodory
condition and With the condition of the nonlinear
increasing function and Leray-Schauder principle, the existence and uniqueness
of solutions of a kind of fourth-order boundary value problems are discussed.
Keywords and phrases: boundary value problem, existence of solution, uniqueness of solution, Leray-Schauder principle.