Periodic solutions for a boundary value problem of a third order ordinary differential equation

Abstract

Existence results for some non-linear ordinary differential equations (1.1) –
(1.2) have been very difficult to establish when it comes to computation of the apriori bounds. These difficulties were due to the nature of Lyapunov functions involved. In this paper, these difficulties have been avoided by the use of integrated equation as the mode of estimating the apriori bounds.