A PERIODIC BOUNDARY VALUE PROBLEM FOR FUNCTIONAL DIFFERENTIAL EQUATIONS OF HIGHER ORDER

被引：0

作者：

Hakl, Robert ^{[1
]}

Mukhigulashvili, Sulkhan ^{[1
,2
]}

机构：

[1] Inst Math AS CR, Brno 61662, Czech Republic

[2] I Chavchavadze State Univ, Fac Math & Phys, GE-0179 Tbilisi, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2009年 / 16卷 / 04期

关键词：

Functional differential equation; boundary value problem; periodic solution;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the interval [0, omega], consider the periodic boundary value problem u((n))(t) = Sigma(n-1)(i=0) l(i)(u((i)))(t) + q(t), u((j))(0) = u((j))(omega) + c(j) (j = 0, ... , n-1), where n >= 2, l(i) : C ([0, omega]; R) -> L ([0, omega]; R) (i = 0, ... , n - 1) are linear bounded operators, q is an element of L ([0, omega]; R), c(j) is an element of R (j = 0, ... , n - 1). The effective sufficient conditions guaranteeing the unique solvability of the considered problem axe established.

引用

页码：651 / 665

页数：15

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