数学物理学报 ›› 2000, Vol. 20 ›› Issue (4): 506-512.
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(1天津大学数学系|2天津大学力学系 天津 300072)
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(1 Department of Mathematics, Tianjin University, Tianjin 300072,
2 Department of Mechanics, Tianjin University, Tianjin 300072)
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摘要：
该文研究Banach空间中一类非线性Volterra型微分积分方程在无穷区间R+上的耦合最小最大拟解及解的整体存在性.利用单调迭代方法及Monch不动点定理，给出了该类方程耦合最小最大拟解及解的整体存在性定理，改进、推广了［１-２］中的相应结果.
关键词: 微分积分方程, 单调迭代方法, Monch不动点定理, Kuratowski非紧性测度.
Abstract:
The existence of global solutions and coupled minimal and maximal quasisolutions are studied for a class of nonlinear integrodifferential equations on the infinite interval R+ in Banach spaces. Some existence theorems of global solutions and coupled minimal and maximal quasisolutions are obtained which improve and generalize the related results in [1-2].
Key words: Integrodifferential equations, Monotone iterative method, Monch fixed point theorem, Kuratowski noncompactness measure.
中图分类号:
陈芳启1,2 陈予恕2 吴志强2. Banach空间一类非线性微分积分方程的整体解[J]. 数学物理学报, 2000, 20(4): 506-512.
Chen Fangqi1,2 Chen Yushu2 Wu Zhiqiang2. Global Solutions of a Class of Nonlinear Integrodifferential Equations in Banach Spaces[J]. Acta mathematica scientia,Series A, 2000, 20(4): 506-512.
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http://121.43.60.238/sxwlxbA/CN/Y2000/V20/I4/506
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