Open Access Research

Existence and uniqueness of solutions for periodic-integrable boundary value problem of second order differential equation

Hongtu Hua1,2*, Fuzhong Cong1 and Yi Cheng1,2

Author Affiliations

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

For all author emails, please log on.

Boundary Value Problems 2012, 2012:89 doi:10.1186/1687-2770-2012-89

Published: 7 August 2012

Abstract

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.

Keywords:
lemma on bilinear forms; Schauder’s fixed point theorem; existence and uniqueness; periodic-integrable boundary value problems