On the Structure of the Set of Continuous Solutions of Linear Functional-Difference Equations

被引：0

作者：

Povarova O.A. ^{[1
]}

机构：

[1] “KPI” Ukrainian National Technical University, Peremogy Prosp., 37, Kiev

来源：

Journal of Mathematical Sciences | 2016年 / 212卷 / 3期

关键词：

Continuous Function; Periodic Solution; Difference Equation; Formal Solution; Continuous Solution;

D O I：

10.1007/s10958-015-2667-z

中图分类号：

学科分类号：

摘要：

We establish conditions for the existence of continuous solutions of systems of linear equations and study the structure of the set of these solutions. © 2015, Springer Science+Business Media New York.

引用

页码：326 / 334

页数：8

共 6 条

[1]

Birkhoff G.D., General theory of linear difference equations, Trans. Amer. Math. Soc., 12, pp. 243-284, (1911)

[2]

Kuczma M., Choczewski B., Ger R., Iterative Functional Equations, (1990)

[3]

Naukova Dumka, Kiev, (1985)

[4]

Pelyukh G.P., Representations of solutions of difference equations with continuous argument, Differents. Uravn., 32, 2, pp. 304-312, (1996)

[5]

Pelyukh G.P., Sivak O.A., On periodic solutions of systems of linear functional-difference equations, Dop. Nats. Akad. Nauk Ukr., 8, pp. 24-28, (2009)

[6]

Pelyukh G.P., On the theory of systems of linear difference equations with continuous argument, Dokl. Akad. Nauk, 73, 2, pp. 269-272, (2006)

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