Existence and uniqueness of solutions for fourth-order periodic boundary value problems under two-parameter nonresonance conditions

摘要

This paper deals with the existence and uniqueness of solutions of the fourth-order periodic boundary value problem { u ( 4 ) ( t ) = f ( t , u ( t ) , u ″ ( t ) ) , t ∈ [ 0 , 1 ] , u ( i ) ( 0 ) = u ( i ) ( 1 ) , i = 0 , 1 , 2 , 3 ,