Existence of positive solutions of a third order nonlinear differential equation with positive and negative terms

Abstract

In this article we investigate the existence of positive solutions for a third order nonlinear differential equation with positive and negative terms. The main tool employed here is Kiguradze's lemma of classification of positive solutions. The asymptotic properties of solutions are also discussed. Two examples are also given to illustrate our result.MSC: Primary 34A34; 34K13; secondary 34K30; 34L30

Green’s Function and Positive Solutions of a Third-Order Equation with Periodic Boundary Conditions

“…ird-order differential equations arise in many areas of physics and engineering [1] and describe, for example, deflection of a curved beam having a constant or varying cross section, a three-layered beam, and electromagnetic waves. Boundary value problems for third-order differential equations have been studied by many authors, for example, [2][3][4][5][6][7][8][9] just to name a few. In this paper, we consider a wellknown [10,11] boundary value problem:…”