Linear singularly perturbed systems

被引:0
作者
Starun I.I. [1 ]
Shkil' M.I. [2 ]
机构
[1] Nizhyn Pedagogic University, Nizhyn
[2] Kiev National Pedagogic University, Kiev
关键词
Cauchy Problem; Homogeneous System; Singularly Perturb; Perturb System; Singularly Perturb System;
D O I
10.1023/A:1024033617266
中图分类号
学科分类号
摘要
We investigate the solvability of the Cauchy problem for a linear singularly perturbed homogeneous system in the case of a singular pencil of matrices. © 2002 Plenum Publishing Corporation.
引用
收藏
页码:2047 / 2054
页数:7
相关论文
共 11 条
[1]  
Gantmakher F.R., Theory of Matrices [in Russian], (1988)
[2]  
Shkil N.I., Starun I.I., Yakovets V.P., Asymptotic Integration of Linear Systems of Differential Equations with Singularities [in Russian], (1991)
[3]  
Starun I.I., Construction of asymptotic solutions of singularly perturbed linear systems, Differents. Uravn., 21, 10, pp. 1822-1823, (1985)
[4]  
Starun I.I., Construction of solutions for a class of linear systems, Asymptotic Integration of Differential Equations [in Russian], pp. 153-160, (1985)
[5]  
Starun I.I., Systems with a singular matrix at the derivative, Ukr. Mat. Zh., 42, 1, pp. 1535-1537, (1990)
[6]  
Starun I.I., Shkil M.I., Construction of solutions of linear and quasilinear singularly perturbed systems of ordinary differential equations, Asymptotic Methods in Differential Equations [in Ukrainian], pp. 141-157, (1993)
[7]  
Starun I.I., Shkil M.I., Integration of a singularly perturbed system with singularities, Ukr. Mat. Zh., 47, 11, pp. 1542-1548, (1995)
[8]  
Yakovets V.P., Asymptotic analysis of a singularly perturbed linear system with a singular matrix pencil, Ukr. Mat. Zh., 44, 1, pp. 106-122, (1992)
[9]  
Samoilenko A.M., Shkil M.I., Yakovets V.P., Linear Systems of Differential Equations with Singularities [in Ukrainian], (2000)
[10]  
Zhukova G.S., A Method for a General Analysis of Linear Singularly Perturbed Differential Equations and Systems [in Russian], (1990)