Existence and uniqueness of solutions for fourth-order periodic boundary value problems under two-parameter nonresonance conditions
1 Department of Mathematics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China
2 Science College, Gansu Agricultural University, Lanzhou, 730070, People’s Republic of China
Boundary Value Problems 2013, 2013:14 doi:10.1186/1687-2770-2013-14Published: 4 February 2013
This paper deals with the existence and uniqueness of solutions of the fourth-order periodic boundary value problem
where is continuous. Under two-parameter nonresonance conditions described by rectangle and ellipse, some existence and uniqueness results are obtained by using fixed point theorems. These results improve and extend some existing results.