| Title:
|
On the existence of generalized solutions of nonlinear first order partial differential-functional equations in two independent variables (English) |
| Author:
|
Człapiński, Tomasz |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
490-506 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35D05 |
| MSC:
|
35F20 |
| MSC:
|
35R10 |
| idZBL:
|
Zbl 0797.35159 |
| idMR:
|
MR1117802 |
| DOI:
|
10.21136/CMJ.1991.102483 |
| . |
| Date available:
|
2008-06-09T15:41:08Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102483 |
| . |
| Reference:
|
[1] P. Bassanini: Su una recente dimostrazione cirza il problema di Cauchy per sistemi quasi lineari iperbolici.Boll. Un. Mat. Ital. (5) 13-B (1976), 322-335. MR 0473548 |
| Reference:
|
[2] P. Bassanini: On a recent proof concerning a boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form.Boll. Un. Mat. Ital. (5) 14-A (1977), 325-332. Zbl 0355.35059, MR 0492913 |
| Reference:
|
[3] P. Bassanini: Iterative methods for quasilinear hyperbolic systems.Boll. Un. Mat. Ital. (6) 1-B (1982), 225-250. Zbl 0488.35056, MR 0654933 |
| Reference:
|
[4] 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. MR 0641736 |
| Reference:
|
[5] P. Brandi R. Ceppitelli: On the existence of the solution of a nonlinear functional partial differential equations of the first order.Atti. Sem. Mat. Fis. Univ. Modena 29 (1980), 166-186. MR 0632726 |
| Reference:
|
[6] P. Brandi R. Ceppitelli: Existence, uniqueness and continuous dependence for a first order non linear partial differential equation in a hereditary structure.Ann. Polon. Math. 47 (1986), 121-136. MR 0884930, 10.4064/ap-47-2-121-136 |
| Reference:
|
[7] L. Cesari: A boundary value problem for quasilinear hyperbolic systems.Riv. Mat. Univ. Parma 3 (1974), 107-131. MR 0435616 |
| Reference:
|
[8] L. Cesari: A boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form.Ann. Sc. Norm. Sup. Pisa (4) 1 (1974), 311 - 358. MR 0380132 |
| Reference:
|
[9] M. Cinquini-Cibrario S. Cinquini: Equazioni alle derivate parziali di tipo iperbolico.Cremonese, Roma 1964. MR 0203199 |
| Reference:
|
[10] Z. Kamont: On the Cauchy problem for nonlinear partial differential-functional equations of the first order.Math. Nachr. 88 (1979), 13-29. MR 0543390, 10.1002/mana.19790880103 |
| Reference:
|
[11] Z. Kamont: On the estimation of the existence domain for solutions of a nonlinear partial differential-functional equation of the first order.Glasnik Mat. 13 (1978), 277-291. MR 0525415 |
| Reference:
|
[12] Z. Kamont: Existence of solutions of first order partial differential-functional equations.Ann. Soc. Math. Polon., Ser. I: Comm. Math. 25 (1985), 249-263. Zbl 0609.35017, MR 0844644 |
| Reference:
|
[13] Z. Kamont J. Turo: On the Cauchy problem for quasilinear hyperbolic system of partial differential equations with a retarded argument.Boll. Un. Mat. Ital. (6) 4-B (1985), 901 - 916. MR 0831298 |
| Reference:
|
[14] Z. Kamont J. Turo: A boundary value problem for quasilinear hyperbolic systems with a retarded argument.Ann. Polon. Math. 47 (1987), 347-360. MR 0927582, 10.4064/ap-47-3-347-360 |
| Reference:
|
[15] Z. Kamont S. Zacharek: On the existence of weak solutions of nonlinear first order partial differential equations in two independent variables.Boll. Un. Mat. Ital. (6) 5-B (1986), 851-879. MR 0871703 |
| Reference:
|
[16] S. N. Kruzhkov: Generalized solutions of non linear first order partial differential equations.(Russian), Mat. Sb. 70 (1966), 394-415. |
| Reference:
|
[17] O. A. Oleynik: Discontinuous solutions of non linear differential equations.(Russian), Usp. Mat. Nauk. 12, 3 (1957), 3-73. MR 0094541 |
| Reference:
|
[18] P. Pucci: Problemi ai limiti per sistemi di equazioni iperboliche.Boll. Un. Mat.Ital. (5) 16-B (1979), 87-99. Zbl 0399.35076 |
| Reference:
|
[19] B. L. Rozhdestvenskij N. N. Yanenko: Systems of quasilinear equations and their applications to gas dynamics.Providence, Rhode Island 1983. |
| Reference:
|
[20] J. Turo: A boundary value problem for quasilinear hyperbolic systems of hereditary partial differential equations.Atti. Sem. Mat. Fis. Univ. Modena 34 (1985-86), 15-34. MR 0876133 |
| Reference:
|
[21] J. Turo: On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order.Czech. Math. J. 36 (111) (1986), 185-197. Zbl 0612.35082, MR 0831307 |
| Reference:
|
[22] J. Turo: Generalized solutions to functional partial differential equations of the first order.Zesz. Nauk. Polit. Gd. 427, Mat. 14 (1988), 3-98. Zbl 0703.35104 |
| . |
