UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (3): 341-352.

UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS

王振^1,2, 丁夏畦^2,3

1. Young Scientist Laboratory of Math. Phys., Inst. of Math. Phys., Academia Sinica, Wuhan 430071, China;
2.Inst. of Math., Shantou Univ., Shantou 515063, China;
3. Inst. of Math., Shantou Univ., Shantou 515063, China Inst. of Appl. Math., Academia Sinica, Beijing 100080,China

收稿日期:1997-01-01 出版日期:1997-09-25 发布日期:1997-09-25

UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS

Wang Zhen^1,2, Ding Xiaqi^2,3

1. Young Scientist Laboratory of Math. Phys., Inst. of Math. Phys., Academia Sinica, Wuhan 430071, China;
2.Inst. of Math., Shantou Univ., Shantou 515063, China;
3. Inst. of Math., Shantou Univ., Shantou 515063, China Inst. of Appl. Math., Academia Sinica, Beijing 100080,China

Received:1997-01-01 Online:1997-09-25 Published:1997-09-25

摘要/Abstract

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.

关键词: hyperbolic system, generalized solution, Lebesgue-Stieltjes integral, generalized potential

Abstract: 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.

Key words: hyperbolic system, generalized solution, Lebesgue-Stieltjes integral, generalized potential

王振, 丁夏畦. UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS[J]. 数学物理学报(英文版), 1997, 17(3): 341-352.

Wang Zhen, Ding Xiaqi. UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS[J]. Acta mathematica scientia,Series B, 1997, 17(3): 341-352.

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UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS

UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS

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