Uniqueness of generalized solution for the Cauchy problem of transportation equations

被引：38

作者：

Wang, Z

Ding, XQ

机构：

[1] ACAD SINICA,INST MATH PHYS,YOUNG SCIENTIST LAB MATH PHYS,WUHAN 430071,PEOPLES R CHINA

[2] SHANTOU UNIV,MATH INST,SHANTOU 515063,PEOPLES R CHINA

[3] ACAD SINICA,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA

来源：

ACTA MATHEMATICA SCIENTIA | 1997年 / 17卷 / 03期

关键词：

hyperbolic system; generalized solution; Lebesgue-Stieltjes integral; generalized potential;

D O I：

10.1016/S0252-9602(17)30852-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the uniqueness of generalized solution defined by Lebesgue-Stieltjes integral for the Cauchy problem of transportation equations. Our results are based on the discussions for linear system with discontinuous coefficient.

引用

页码：341 / 352

页数：12

共 50 条

[1] UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS
王振
丁夏畦
[J]. Acta Mathematica Scientia, 1997, (03) : 341 - 352
[2] THE UNIQUENESS OF THE GENERALIZED SOLUTION OF CAUCHY PROBLEM FOR SYSTEMS OF QUASILINEAR HYPERBOLIC EQUATIONS
ROZHDESTVENSKY, BL
[J]. DOKLADY AKADEMII NAUK SSSR, 1958, 122 (05): : 762 - 765
[3] On the uniqueness of a solution to the cauchy problem for functional differential equations
Kiguradze, IT
Sokhadze, ZP
[J]. DIFFERENTIAL EQUATIONS, 1995, 31 (12) : 1947 - 1958
[4] UNIQUENESS CLASSES OF SOLUTION TO CAUCHY PROBLEM FOR PARABOLIC EQUATIONS
SMIRNOVA, GN
[J]. DOKLADY AKADEMII NAUK SSSR, 1963, 153 (06): : 1269 - &
[5] ON UNIQUENESS OF CAUCHY PROBLEM SOLUTION FOR GENERAL LINEAR EQUATIONS
IOKHVIDO.NY
[J]. DOKLADY AKADEMII NAUK SSSR, 1970, 193 (01): : 24 - &
[6] UNIQUENESS OF SOLUTION OF CAUCHY-PROBLEM FOR EQUATIONS IN CONVOLUTIONS
GOFMAN, LY
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1976, (01): : 3 - 11
[7] On the Cauchy problem of transportation equations
Wang Z.
Huang F.
Ding X.
[J]. Acta Mathematicae Applicatae Sinica, 1997, 13 (2) : 113 - 122
[8] ON THE CAUCHY PROBLEM OF TRANSPORTATION EQUATIONS
王振
黄飞敏
丁夏畦
[J]. Acta Mathematicae Applicatae Sinica, 1997, (02) : 113 - 122
[9] Uniqueness and stability of solution for Cauchy problem of degenerate quasilinear parabolic equations
ZHAO Junning & ZHAN Huashui Department of Mathematics
[J]. Science China Mathematics, 2005, (05) : 583 - 593
[10] ON THE UNIQUENESS OF THE CAUCHY PROBLEM FOR PARABOLIC EQUATIONS
FRIEDMAN, A
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1959, 81 (02) : 503 - 511

← 1 2 3 4 5 →