Generalized solutions of local initial problems for quasi-linear hyperbolic functional differential systems

被引：0

作者：

Czlapinski, T ^{[1
]}

Kamont, Z ^{[1
]}

机构：

[1] Univ Gdansk, Inst Matematyki, PL-80952 Gdansk, Poland

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 1999年 / 35卷 / 1-2期

关键词：

functional differential systems; second canonical form; generalized solutions; bicharacteristics;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Caratheodory solutions of quasi-linear hyperbolic systems ill the second canonical form are investigated. Theorems on the existence, uniqueness and continuous dependence upon initial data are given. The method of bicharacteristics and integral inequalities are used. The local Cauchy problem is transformed into functional integral equations. The existence of solutions of this system is proved by using integral inequalities and the Banach fixed point principle.

引用

页码：185 / 206

页数：22

共 21 条

[1]

BASSANINI P, 1975, ATTI SEMIN MAT FIS, V24, P343

[2]

CAZZANINIERI MG, 1994, ANN MAT PUR APPL, V167, P351

[3]

CESARI L, 1974, ATTI ACCAD NAZ LIN, V57, P303

[4]

Cesari L., 1974, ANN SCUOLA NORM SUP, V1, P311

[5]

CINQUINI-CIBRARIO M., 1985, ANN MAT PUR APPL, V140, P223

[6]

CINQUINICIBRARI.M, 1982, REND MAT, V2, P499

[7] GENERALIZED SOLUTIONS OF QUASI-LINEAR HYPERBOLIC SYSTEMS OF PARTIAL-DIFFERENTIAL FUNCTIONAL-EQUATIONS [J].

CZLAPINSKI, T ;

KAMONT, Z .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 172 (02) :353-370

[8]

CZLAPINSKI T, 1991, B UNIONE MAT ITAL, V5B, P619

[9]

Czlapinski T., 1991, Z ANAL ANWEND, V10, P169

[10]

CZLAPINSKI T, 1992, ANN POL MATH, V57, P177

← 1 2 3 →