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《Acta Analysis Functionalis Applicata》 2008-01
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The Unique Solution for Discontinuous Nonlinear Integral Equations on Infinite Interval

WANG Feng1, ZHANG Fang1, LIU Chun-han21. Department of Information Science, Jiangsu Polytechnic University, Changzhou 213164, China2. Department of Mathematics, Shandong Education College, Ji′nan 250013, China  
The unique solution of the discontinuous nonlinear integral equations in Banach spaces are investigated. In very weakly condition, the unique solution of nonlinear integral equations can be obtained by the uniformly limit of the iterative sequences is proved. The error estimate of the iterative sequences of approximation solutions is given. And then apply this result to the terminal value problems of first order differential equations. The results obtained here improve and extend some corresponding results.
【Fund】: 国家自然科学基金(10671167)
【CateGory Index】: O175
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