Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices

被引：57

作者：

Diblik, J. ^{[1
]}

Feckan, M. ^{[2
,3
]}

Pospisil, M. ^{[1
]}

机构：

[1] Brno Univ Technol, CS-61090 Brno, Czech Republic

[2] Comenius Univ, Bratislava, Slovakia

[3] Slovak Acad Sci, Inst Math, Bratislava, Slovakia

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2013年 / 65卷 / 01期

关键词：

SUFFICIENT CONDITIONS; CONTROLLABILITY; EQUATIONS; STABILITY;

D O I：

10.1007/s11253-013-0765-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We represent a solution of an inhomogeneous second-order differential equation with two delays by using matrix functions under the assumption that the linear parts are given by permutable matrices.

引用

页码：64 / 76

页数：13

共 15 条

[1]

[Anonymous], COMMUN APPL IN PRESS

[2]

[Anonymous], ELECT J QUAL THEORY

[3] Boundary Value Problems for Delay Differential Systems [J].

Boichuk, A. ;

Diblik, J. ;

Khusainov, D. ;

Ruzickova, M. .

ADVANCES IN DIFFERENCE EQUATIONS, 2010,

[4] Boundary-Value Problems for Weakly Nonlinear Delay Differential Systems [J].

Boichuk, A. ;

Diblik, J. ;

Khusainov, D. ;

Ruzickova, M. .

ABSTRACT AND APPLIED ANALYSIS, 2011,

[5] Fredholm's boundary-value problems for differential systems with a single delay [J].

Boichuk, A. ;

Diblik, J. ;

Khusainov, D. ;

Ruzickova, M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2251-2258

[6] .Representation of solutions of linear discrete systems with constant coefficients and pure delay [J].

Diblik, J. ;

Khusainov, D. Ya. .

ADVANCES IN DIFFERENCE EQUATIONS, 2006, 2006 (1)

[7] Control of Oscillating Systems with a Single Delay [J].

Diblik, J. ;

Khusainov, D. Ya. ;

Lukacova, J. ;

Ruzickova, M. .

ADVANCES IN DIFFERENCE EQUATIONS, 2010,

[8] Controllability of linear discrete systems with constant coefficients and pure delay [J].

Diblik, Josef ;

Khusainov, Denys Ya. ;

Ruzickova, M. .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (03) :1140-1149

[9] Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay [J].

Diblik, Josef ;

Khusainov, Denis ;

Kukharenko, Oleksandra ;

Svoboda, Zdenek .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[10] REPRESENTATION OF A SOLUTION OF THE CAUCHY PROBLEM FOR AN OSCILLATING SYSTEM WITH PURE DELAY [J].

Khusainov, D. Ya. ;

Diblik, J. ;

Ruzickova, M. ;

Lukacova, J. .

NONLINEAR OSCILLATIONS, 2008, 11 (02) :276-285

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