Linear Fredholm Boundary-Value Problems for Dynamical Systems on a Time Scale

被引：0

作者：

Boichuk O.A. ^{[1
]}

Strakh O.P. ^{[2
]}

机构：

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

[2] Shevchenko Kyiv National University, 4e Academician Glushkov Avenue, Kyiv

来源：

Journal of Mathematical Sciences | 2015年 / 208卷 / 5期

关键词：

Fundamental Matrix; Boundaryvalue Problem; Generalize Inverse Operator; Dimensional Vector Function; Generalize Green Operator;

D O I：

10.1007/s10958-015-2463-9

中图分类号：

学科分类号：

摘要：

We establish necessary and sufficient conditions for the solvability of Fredholm boundary-value problems for systems of dynamical equations on a time scale. The structure of the set of solutions of these boundaryvalue problems is investigated. An example of Fredholm boundary-value problem is considered in the case where the time scale is a Cantor set. © 2015, Springer Science+Business Media New York.

引用

页码：487 / 497

页数：10

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