Matrix criteria for the extension of solutions of the general linear system of partial differential equations with function coefficients

被引:0
作者
Le, HS [1 ]
Nguyen, TV [1 ]
机构
[1] Hanoi Univ Technol, Hanoi, Vietnam
来源
FINITE OR INFINITE DIMENSIONAL COMPLEX ANALYSIS | 2000年 / 214卷
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper the matrix criterions for the extension of solutions of the general linear systems of partial differential equations with function coefficients are proved. It is showed that the extension problem for the solutions of a linear system of partial differential equations has the closed connections with the rank of the coefficient-matrix of this system. Some examples to applying these criterions are given.
引用
收藏
页码:267 / 281
页数:15
相关论文
共 50 条
[31]   PROPERTIES OF SOLUTIONS FOR ONE SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS [J].
NIKOLAEV, SI .
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR, 1972, (05) :427-&
[32]   General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coefficients on the Whole Spaces [J].
Castro, L. P. ;
Saitoh, S. ;
Sawano, Y. ;
Simoes, A. M. .
COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 6 (01) :307-324
[33]   General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coefficients on the Whole Spaces [J].
L. P. Castro ;
S. Saitoh ;
Y. Sawano ;
A. M. Simões .
Complex Analysis and Operator Theory, 2012, 6 :307-324
[34]   INTEGRAL CRITERIA FOR SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS [J].
REID, WT .
DUKE MATHEMATICAL JOURNAL, 1945, 12 (04) :685-694
[36]   CONTINUATION OF REGULAR SOLUTIONS OF LINEAR PARTIAL-DIFFERENTIAL EQUATIONS WITH REAL ANALYTIC COEFFICIENTS [J].
KANEKO, A .
PROCEEDINGS OF THE JAPAN ACADEMY, 1975, 51 :798-801
[37]   STRUCTURE OF ANALYTIC SOLUTIONS TO A CLASS OF SYSTEMS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS [J].
VOSTRETS.BA .
DOKLADY AKADEMII NAUK SSSR, 1965, 161 (06) :1259-&
[38]   EXACT-SOLUTIONS OF LINEAR PARTIAL-DIFFERENTIAL EQUATIONS WITH VARIABLE-COEFFICIENTS [J].
SACHDEV, PL ;
VAGANAN, BM .
STUDIES IN APPLIED MATHEMATICS, 1992, 87 (03) :213-237
[39]   A FORMULA FOR LJAPUNOV FUNCTION OF A SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS [J].
SUILIN, C .
CHINESE MATHEMATICS, 1967, 9 (06) :732-&
[40]   THE REDUCTION OF A SYSTEM OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS TO THE NORMAL FORM [J].
BOROK, VM .
DOKLADY AKADEMII NAUK SSSR, 1957, 115 (01) :13-16