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   A Multiple Iterated Integral Inequality and Applications  
   
نویسنده hou z. ,wang w.-s.
منبع journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
چکیده    We establish new multiple iterated volterra-fredholm type integral inequalities,where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [ma,qh,pečarić,j: estimates on solutions of some new nonlinear retarded volterra-fredholm type integral inequalities. nonlinear anal. 69 (2008) 393-407] is changed into the composite functions w1(u(s)),w2(u(s)),.,wn (u(s)) of the unknown function u with different nonlinear functions w1,w2,.,wn,respectively. by adopting novel analysis techniques,the upper bounds of the embedded unknown functions are estimated explicitly. the derived results can be applied in the study of solutions of ordinary differential equations and integral equations. © 2014 zongyi hou and wu-sheng wang.
آدرس school of mathematics and statistics,hechi university,guangxi, China, school of mathematics and statistics,hechi university,guangxi, China
 
     
   
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