Existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations

Existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations
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DOI:
10.1216/jie-2015-27-3-325
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发表时间:
2015-09
影响因子:
0.8
通讯作者:
Sonia Seyed Allaei;Zhanwen Yang;H. Brunner
Sonia Seyed Allaei;Zhanwen Yang;H. Brunner
中科院分区:
数学4区
文献类型:
--
作者:
Sonia Seyed Allaei;Zhanwen Yang;H. Brunner

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。研究了一类含弱奇异核的第三类Volterra积分方程解的存在性、唯一性和正则性。特别令人感兴趣的是那些可以转化为亲切Volterra积分方程的积分方程,其底层积分算子可能是非紧的。
. We analyze the existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations, including equations with weakly singular ker- nels. Of particular interest are those integral equations that can be transformed into cordial Volterra integral equations whose underlying integral operator may be non-compact.