Multiple Positive Solutions Of Singular Boundary Value Problems Of Higher Order Differential Equations

In this paper, multiple positive solutions of singular boundary value problems of higher order differential equations will be considered.The paper is mainly divided into six chapters.The first section is the introduction of the whole paper. We investigate the background of this paper, and make plans for the research of the problem.The next section gives the conclutions of this paper.The third section consists of definitions and theorems and mainly investigates singular boundary value problems of higher order differential equationswhere f₁,f₂∈C((0,1)×(0,∞),[0,∞)).f₁(t,1)>0,f₂(t,1)>0,t∈(0,1).In the fourth section a sufficient condition for the existence of at least two positive solutions is given by using the fixed point theorems of cone expansion and compression of norm type.The fifth section gives the applications of our theorems.At last, we summarize the results of the whole paper.