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   Iteration for a third-order three-point BVP with sign-changing green's function  
   
نویسنده zhao y.-h. ,li x.-l.
منبع journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
چکیده    We are concerned with the following third-order three-point boundary value problem: u ‴ (t)= f (t,u (t)),t [ 0,1 ],u ′ (0)= u (1)= 0,u ″ (η)+ αu (0)= 0,where α [ 0,2) and η [ 2 / 3,1). although corresponding green's function is sign-changing,we still obtain the existence of monotone positive solution under some suitable conditions on f by applying iterative method. an example is also included to illustrate the main results obtained. © 2014 ya-hong zhao and xing-long li.
آدرس department of applied mathematics,lanzhou university of technology,lanzhou, China, department of applied mathematics,lanzhou university of technology,lanzhou, China
 
     
   
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