On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order
Czechoslovak Mathematical Journal (1986)
- Volume: 36, Issue: 2, page 185-197
- ISSN: 0011-4642
Access Full Article
topHow to cite
topTuro, Jan. "On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order." Czechoslovak Mathematical Journal 36.2 (1986): 185-197. <http://eudml.org/doc/13573>.
@article{Turo1986,
author = {Turo, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {quasilinear hyperbolic systems; differential-functional equations; Schauder canonical form; existence; uniqueness; local generalized solutions},
language = {eng},
number = {2},
pages = {185-197},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order},
url = {http://eudml.org/doc/13573},
volume = {36},
year = {1986},
}
TY - JOUR
AU - Turo, Jan
TI - On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 2
SP - 185
EP - 197
LA - eng
KW - quasilinear hyperbolic systems; differential-functional equations; Schauder canonical form; existence; uniqueness; local generalized solutions
UR - http://eudml.org/doc/13573
ER -
References
top- P. Bassanini, Su una recente dimostrazione circa il problema di Cauchy per sistemi quasi lineari iperbolici, Boll Un. Mat. Ital. (5) 13-B (1976), 322-335. (1976) Zbl0342.35035MR0473548
- P. Bassanini, Iterative methods for quasilinear hyperbolic systems, Boll. Un. Mat. Ital. (6) 1-B (1982), 225-250. (1982) Zbl0488.35056MR0654933
- P. Bassanini, The problem of Graffi-Cesari, Proceedings of Inter. Conference on Nonlinear Phenomena in Math. Sci., Arlington, USA, 1980, Acad. Press 1982, 87-101. (1980) MR0727970
- P. Bassanini M. C. Salvatori, Un problema ai limiti per sistemi integrodifferenziali non lineari di tipo iperbolico, Boll. Un. Mat. Ital. (5) 18-B (1981), 785-798. (1981) MR0641736
- G. Caginalp, 10.1016/0022-0396(83)90060-8, Journal of Diff. Equations 48 (1983), 71 - 94. (1983) Zbl0513.35050MR0692845DOI10.1016/0022-0396(83)90060-8
- G. Caginalp, 10.1016/0022-0396(82)90078-X, Journal of Diff. Equations 43 (1982), 134-155. (1982) Zbl0451.35018MR0645641DOI10.1016/0022-0396(82)90078-X
- L. Cesari, A boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form, Ann. Scuola Norm. Sup. Pisa, (4) 1 (1974), 311 - 358. (1974) MR0380132
- L. Cesari, A boundary value problem for quasilinear hyperbolic systems, Riv. Mat. Univ. Parma, 3 (1974), 107-131. (1974) MR0435616
- M. Cinquini-Cibrario, 10.1007/BF02416798, Ann. Mat. Рurа Appl., 75 (1967), 1 - 46. (1967) MR0236523DOI10.1007/BF02416798
- A. Doktor, Global solution of mixed problem for certain system of nonlinear conservation laws, Czech. Math. J. 27 (102), (1977), 69-95. (1977) MR0427851
- E. Hopf, 10.1002/cpa.3160030302, Comm. Pure Appl. Math, 3 (1950), 201-230. (1950) Zbl0039.10403MR0047234DOI10.1002/cpa.3160030302
- Z. Kamont, Existence of solutions of first order partial differential-functional equations, Ann. Soc. Math. Polon., Ser. I: Comm. Math. (to appear). Zbl0726.35134MR0844644
- Z. Kamont J. Turo, On the Cauchy problem for quasilinear hyperbolic system of partial differential equations with a retarded argument, Boll. Uh. Mat. Ital. (to appear). MR0831298
- C. H. Кружков, Квазилинейные уравнения первого порядка со многими независимыми переменными, Математический Сборник 81 (1970), 230-255. (1970) Zbl1170.92319
- С. Н. Крулсков, Обобщенные решения нелинейных уравнений первого порядка со многими независимыми переменными, Мат. Сборник 70 (1966), 394-415. (1966) Zbl1155.78304MR0199543
- О. А. Олейник, Разрывные решения нелинейных дифференциальных уравнений, Испехи Мат. Наук 12 (75), (1977), 3-73. (1977) Zbl1170.01341
- Б. Л. Рожрественский Н. Н. Яненко, Системы квазилинейных уравнений, Москва 1978. (1978) Zbl1234.93001
Citations in EuDML Documents
top- Jan Turo, Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations
- Tomasz Człapiński, On the mixed problem for hyperbolic partial differential-functional equations of the first order
- Tomasz Człapiński, On the local Cauchy problem for nonlinear hyperbolic functional differential equations
- Tomasz Człapiński, Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations
- Tomasz Człapiński, On the existence of generalized solutions of nonlinear first order partial differential-functional equations in two independent variables
- Jan Turo, Nonlocal problems for first order functional partial differential equations
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.