On the Uniqueness and Existence of Positive Solution to a Class of Nonlinear Integral Equations
Received:March 04, 1995  
Key Words: integral equation   perturbation   positive sotution.  
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Author NameAffiliation
Zhao Zengqin Dept. of Math.
Qufu Normal University
Shandong 273165 
Li Xiankui Dept. of Math.
Qufu Normal University
Shandong 273165 
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Abstract:
      We study the integral equationu(x)=λ∫Ωk(x,y)f(y,u(y))dy, λ>0 and its nonlinear perturbation u(x)=λ∫Ωk(x,y)f(y,u(y))dy+G(u(x)) where k(x,y) is nonnegative measurable. Under some reasonable conditions on f(x,u) and G(u) , we obtain the uniqueness and existence of positive solution for the equations, and also the iteration approximations of the solutions.
Citation:
DOI:10.3770/j.issn:1000-341X.1998.02.019
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