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EXISTENCE OF EXTREME SOLUTION TO FIRST-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
Authors:Huantao Zhu
Institution:Huantao Zhu(Hunan College of Information,Changsha 410200)
Abstract:This paper is concerned with the existence of extreme solutions to three-point boundary value problems with nonlinear boundary conditions for a class of first order impulsive differential equations. We obtain suficient conditions for the existence of extreme solutions by the upper and lower solutions method coupled with a monotone iterative technique.
Keywords:impulsive differential equation  monotone iterative technique  boundary value problems  
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