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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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【Citations】
Chinese Journal Full-text Database 3 Hits
1 LIU Li-shan Department of Mathematics, Qufu Normal University, Qufu Shandong 273165, China;The Iterative Unique Solution for Discontinuous Nonmonotone Volterra Type Integral Equations in Banach Spaces[J];应用泛函分析学报;2001-03
2 LIU Li Shan (Department of Mathematics, Qufu Normal University, Qufu 273165, P. R. China) (E-mail: lls@qfnu.edu.cn);The Unique Solution for Discontinuous Nonlinear Volterra Type Integral Equations in Banach Spaces[J];数学学报;2001-01
3 Zhou Youming(Department of Basic Science, Changzhou Teachers College of Technology, Changzhou 213015);MAXIMAL AND MINIMAL SOLUTIONS OF TERMINAL VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS IN BANACH SPACES[J];系统科学与数学;1999-03
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 LIU Li Shan (Department of Mathematics, Qufu Normal University, Qufu 273165, P. R. China) (E-mail: lls@qfnu.edu.cn);The Unique Solution for Discontinuous Nonlinear Volterra Type Integral Equations in Banach Spaces[J];数学学报;2001-01
2 Song Fumin (Nanchang Institute of Aeronautical Technologg, Nanchang 330034, China)(Fax: (0791) 8213248);Weak Carathodory Solution of Differential Equations in Banach Spaces[J];数学学报;1998-06
3 Liu Lishan(Department of Mathematics, Qufu Normal University, Shandong 273165);ITERATIVE SOLUTIONS OF NONLINEAR MIXED MONOTONE HAMMERSTEIN TYPE INTEGRAL EQUATIONS IN BANACH SACES[J];系统科学与数学;1996-04
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