| In mordern technology areas of practial problems, impulse as an instantaneaus catas-trophe phenomenon is universal existence. Recentlly some new technology achievementhas been proved that impulsive system universally existed in aeromautics,informatics,cybernetics,communicats,biology,medicine,economics areasIn this paper we present some new existence results for singular semipositone Dirichletboundary value problem for second order impulsive differential equations.This paper is composed of three parts. In the first chapter, we introduce the historicalbackground of the problems which will be investigated and the main results of this paper.In the second chapter, we present the upper and lower solutions method, which will beused in chapter three. In the third chapter, by employing the upper and lower solutionsmethod and Krasnoselskii fixed point theorem, they were proved the existance of multiplepositive solutions for the following singular semipositone boundary value problems withimpulsive effects (1.1)Here,μ＜0 is a constant and let 0＜t1＜t2＜…＜tm＜1 be given. Also our nonlin-carity f may be singular at y=0, Ik: [0,∞)→[0,∞) is continuous and nondecreasing,△y′|t=tk=y′(tk+0)-y′(tk-0), where y′(tk+0)(respectively y′(tk-0)) denote theright limit (respectively left limit) of y′(t) at t=tk. |
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