Boundary-Value Problems for Differential Equations in Banach Spaces with Unbounded Operator in the Linear Part

被引：0

作者：

Panasenko E.V. ^{[1
]}

Pokutnyi O.O. ^{[2
]}

机构：

[1] Zaporizhzhya National University, 66 Zhukovs’kyi Str., Zaporizhzhya

[2] Institute of Mathematics, Ukrainian National Academy of Sciences, 3 Tereshchenkivs’ka Str., Kyiv

来源：

Journal of Mathematical Sciences | 2014年 / 203卷 / 3期

关键词：

Hilbert Space; Banach Space; Cauchy Problem; Unbounded Operator; Ukrainian National Academy;

D O I：

10.1007/s10958-014-2139-x

中图分类号：

学科分类号：

摘要：

We find a criterion for the existence of solutions of boundary-value problems in Banach and Hilbert spaces in the case where the linear part contains an unbounded operator. We also establish conditions for the normal and generalized solvability of these problems. © 2014, Springer Science+Business Media New York.

引用

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页码：366 / 374

页数：8

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