Method of successive approximations for abstract volterra equations in a banach space

被引：0
作者：
Mishura Yu.S. [1 ]
Tomilov Yu.V. [1 ]
机构：
[1] Kiev University, Kiev
来源：
Ukrainian Mathematical Journal | 1999年 / 51卷 / 3期
关键词：
Banach Space; Successive Approximation; Bounded Variation; Class Versus; Volterra Equation;
D O I：
10.1007/BF02592478
中图分类号：
学科分类号：
摘要：
We apply the method of successive approximations to abstract Volterra equations of the form x = f + a * Ax, where A is a closed linear operator. The assumption is made that a kernel a is continuous but is not necessarily of bounded variation. © 1999 Kluwer Academic/Plenum Publishers.
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页码：419 / 426
页数：7
相关论文
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