Existence and uniqueness of solutions for periodic-integrable boundary value problem of second order differential equation
1 Fundamental Department, Aviation University of Air Force, Changchun, 130022, People’s Republic of China
2 Institute of Mathematics, Jilin University, Changchun, 130012, People’s Republic of China
Boundary Value Problems 2012, 2012:89 doi:10.1186/1687-2770-2012-89Published: 7 August 2012
In this paper we deal with one kind of second order periodic-integrable boundary value problem. Using the lemma on bilinear form and Schauder’s fixed point theorem, we give the existence and uniqueness of solutions for the problem under Lazer type nonresonant condition.
MSC: 34B15, 34B16, 37J40.