Publication Cover
Applicable Analysis
An International Journal
Volume 64, 1997 - Issue 3-4
12
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On the local cauchy problem for quasilinear hyperbolic functional differential systems

Pages 329-342 | Received 01 Nov 1996, Published online: 02 May 2007

  • Bassanini , P. 1977 . On a recent proof concerning a boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form . Boll. Un. Mat. Ital. , 15 A ( 5 ) : 325 – 332 .
  • Bassanini , P. 1982 . Iterative methods for quasilinear hyperbolic systems . Boll. Un. Mat. Ital. , 6 ( 1-B ) : 225 – 250 .
  • Brandi P. Marcelli C. External solutions and Gronwall inequality in functional setting, E Boll. Un. Mat. Ital.to appear.
  • Brandi P. Marcelli C. Haar inequality in hereditary setting and applications, 1996 Boll. Un. Mat. Ital., to appear..
  • Cazzani Nieri , M. G. 1994 . Nuovi teoremi di esistenza per un problema di Cauchy nella classe delle funzioni assolutamente continue nell singole variabili . Ann. Mat. pura ed appl. , 157 ( 1-B ) : 351 – 387 .
  • Cesari , L. 1974 . A boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form . Ann. Scuola. Norm. Sup. Pisa , IV ( 1 ) : 311 – 358 .
  • Cesari , L. 1974 . A boundary value problem for quasilinear hyperbolic systems . Riv. Mat. Univ. Parma , 3 ( 1 ) : 107 – 131 .
  • Cinquini , S. 1979 . Sopra i sistemi iperbolici di equaziono a derivate parziali (nonlineari) in piú variabili indipendenti . ann. Mat. pura ed appl. , 120 ( 1 ) : 201 – 214 .
  • Cinquini , S. 1967 . Teoremi di esitrlizii per sistemi di quasilinearia derivate parziali in piú variabili indipendent . ann. Mat. pura ed appl. , 75 : 1 – 46 .
  • Cinquini Cibrario , M. 1982 . Teoremi di esitenza per sistemi di equazioni quasilineari a derivate parziali in piú variabili indipendenti . Rend. Sem. Mat. Fis. Univ. Milano , 52 ( 1 ) : 531 – 550 .
  • Czlapiński , T. 1991 . On the Cauchy problem for quasilinear hyperbolic systems of partial differential - functional equations of the first order . Zeit. Anal. Anwend , 10 ( 1 ) : 169 – 182 .
  • Czlapiński , T. and Kamont , Z. 1993 . Generalized solutions of quasi - linear hyperbolic systems of partial differential - functional equations . Journ. Math. Anal. Appl. , 172 ( 1 ) : 353 – 370 .
  • Kamont , Z. 1994 . Initial value problems for hyperbolic differential - functional systems . Boll. Un. Mat. Ital. , 7 ( 8 - B ) : 965 – 984 .
  • Kamont , Z. 1979 . On the Cauchy problem for non - linear partial differential - functional equations of the first order , Vol. 5 , 327 – 339 . Serdica Bulg. Math. Publ. .
  • Mattioli , M. and Salvatori , M. C. 1979 . A theorem of existence and uniqueness in nonlinear dispersive optics . Atti Sem. Mat. Fis. Univ. Modena , 28 : 405 – 424 .
  • Myshkis , A. D. and Šlopak , A. S. 1957 . Mixed problem for systems of differential - functional equations with partial derivatives and with operators of the Volterra type, (Russian) . Mat. Sb. (N.S.) , 41 : 239 – 256 .
  • Szarski , J. 1967 . Differntial Inequalities , Warszawa : Polish Sci. Publ. .
  • Turo , J. 1986 . On some class of quasilinear hyperbolic systems of partial differential - functional equations of the first order . Czechosl. Mat. Journ. , 36 : 185 – 197 .
  • Turo , J. 1987 . Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential - functional equations . Math. Slov. , 37 : 375 – 387 .
  • Umanaliev , M. I. and Vied' , J. A. 1989 . On a differential equation with first order partial derivatives and with integral coefficients, (Russian) . Differen. Urav. , 25 : 465 – 477 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.