Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations

Jan Turo

Mathematica Slovaca (1987)

  • Volume: 37, Issue: 4, page 375-389
  • ISSN: 0232-0525

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Turo, Jan. "Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations." Mathematica Slovaca 37.4 (1987): 375-389. <http://eudml.org/doc/34264>.

@article{Turo1987,
author = {Turo, Jan},
journal = {Mathematica Slovaca},
keywords = {quasilinear; Schauder canonic form; existence; uniqueness; local generalized solution; retarded argument; integrodifferential systems},
language = {eng},
number = {4},
pages = {375-389},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations},
url = {http://eudml.org/doc/34264},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Turo, Jan
TI - Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations
JO - Mathematica Slovaca
PY - 1987
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 37
IS - 4
SP - 375
EP - 389
LA - eng
KW - quasilinear; Schauder canonic form; existence; uniqueness; local generalized solution; retarded argument; integrodifferential systems
UR - http://eudml.org/doc/34264
ER -

References

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  1. BASSANINI P., On a recent proof concerning a boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form, Boll. Un. Mat. Ital. 14-A (1977), 325-332. (1977) Zbl0355.35059MR0492913
  2. BASSANINI P., Iterative methods for quasilinear hyperbolic systems, Boll. Un. Mat. Ital. (6) 1-B (1982), 225-250. (1982) Zbl0488.35056MR0654933
  3. BASSANINI P., The problem of Graffi-Cesari, Inter. Conference on Nonlinear Phenomena in Math. Sci., Arlington, Texas, USA, 16-20 June, 1980, Acad. Press 1982, 87-101. (1980) MR0727970
  4. BASSANINI P., SALVATORI M. C., Un problema ai limiti per sistemi integrodifferenziali non lineari di tipo iperbolico, Boll. Un. Mat. Ital (5) 18-B (1981), 785-798. (1981) Zbl0492.45010MR0641736
  5. CESARI L., 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
  6. CESARI L., A boundary value problem for quasilinear hyperbolic systems, Riv. Mat. Univ. Parma 3 (1974), 107-131. (1974) MR0435616
  7. CINQUINI-CIBRARIO M., Teoremi di esistenza per sistemi di equazioni quasilineari a derivative parziali in piu variabili independenti, Ann. Mat. Pura Appl. 75 (1967), 1-46. (1967) MR0236523
  8. KAMONT Z., On the Cauchy problem for non-linear partial differential-functional equations of the first order, Math. Nachr. 88 (1979), 13-29. (1979) Zbl0421.35014MR0543390
  9. KAMONT Z., On the existence and uniqueness of solutions of the Cauchy problem for linear partial differential-functional equations of the first order, Math. Nachr. 80 (1877), 183-200. Zbl0313.35012MR0499850
  10. KAMONT Z., TURO J., On the Cauchy problem for quasilinear hyperbolic system of partial differential equations with a retarded argument, Boll. Un. Mat. Ital. (to appear). Zbl0614.35089MR0831298
  11. KAMONT Z., TURO J., On the Cauchy problem for quasilinear hyperbolic systems with a retarded argument, unpublished. Zbl0637.35080
  12. TURO J., On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order, Czech. Math. J. (to appear). Zbl0612.35082MR0831307

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