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

页码：267 / 281

页数：15

共 50 条

[41] A nullstellensatz for linear partial differential equations with polynomial coefficients [J].

Cimpric, J. .

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2019, 30 (01) :363-372

[42] LINEAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS [J].

GARDING, L .

ACTA MATHEMATICA, 1951, 85 (01) :1-62

[43] A nullstellensatz for linear partial differential equations with polynomial coefficients [J].

J. Cimprič .

Multidimensional Systems and Signal Processing, 2019, 30 :363-372

[44] ON ANALYTIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS [J].

AGRANOVICH, MS .

DOKLADY AKADEMII NAUK SSSR, 1959, 124 (06) :1183-1186

[45] ENTIRE SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS [J].

FRIEDMAN, A .

DUKE MATHEMATICAL JOURNAL, 1964, 31 (02) :235-&

[46] UNIQUENESS OF SOLUTIONS OF A MIXED PROBLEM FOR A SYSTEM OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS [J].

CHEN, QY .

CHINESE MATHEMATICS, 1967, 9 (02) :209-&

[47] POLYNOMIAL SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS [J].

Petropoulou, Eugenia N. ;

Siafarikas, Panayiotis D. .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (03) :1053-1065

[48] ANALYTIC SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS [J].

CIUMASU, D .

ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1973, 53 (1-2) :18-24

[49] SOLUTIONS EXTENSION FOR PARTIAL-DIFFERENTIAL EQUATIONS SYSTEMS [J].

EH, KH .

VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1991, (02) :75-78

[50] STRUCTURE OF ENTIRE SOLUTIONS TO GENERAL LINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS WITH CONSTANT COEFFICIENTS [J].

Dong, Xianjing .

HOUSTON JOURNAL OF MATHEMATICS, 2019, 45 (04) :1021-1036

← 1 2 3 4 5 →