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Exact solutions of some second-order linear differential equationswith functional boundary conditions and applications
Zhao Zengqin *
School of Mathematical Sciences,Qufu Normal University, QuFu 273165
*Correspondence author
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Funding: Research supported by the National Natural Science Foundation of China （No.10871116）, the Doctoral Program Foundation of Education Ministry of China （No.200804460001）
Opened online:16 February 2012
Accepted by: none
Citation: Zhao Zengqin.Exact solutions of some second-order linear differential equationswith functional boundary conditions and applications[OL]. [16 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4464084
 
 
Some second-order linear differential equations with functional boundary conditionsare studied. We obtain the existence and uniqueness of their solutions and give exact expressions of the unique solutions by the Green's functions. As applications, we study the solution by iterative method for a nonlinear singular boundary value problem.
Keywords:Applied mathematics; second-order linear differential equation; functional boundary condition; exact expressions; iterative method
 
 
 

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