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The existence of solutions of a class of operator equations
XIONG Chunlian 1,DUAN Huagui 2 *
1.Department of Fundamental,Tianjin Institute of Urban Construction,TianJin 300384
2.School of Mathematical Sciences and LPMC,Nankai University, TianJin 300071
*Correspondence author
#Submitted by
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Funding: NNSFC(No.10801079), SRFDP(No.200800551002)
Opened online:10 January 2012
Accepted by: none
Citation: XIONG Chunlian ,DUAN Huagui .The existence of solutions of a class of operator equations[OL]. [10 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4450251
 
 
In this paper, iterativetechniques and the partial order theory are used to study theexistence of coupled solutions and solutions for an operatorequation Lx=N(x,y) in a complete metric space and Banach space,respectively. And then main results are applied to two pointboundary value problems of an integro-differential equation.
Keywords:partially order; Banach space; normal cone; integro-differential equation; coupled solutions
 
 
 

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