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Title: Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations (English)
Author: Turo, Jan
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 37
Issue: 4
Year: 1987
Pages: 375-389
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Category: math
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MSC: 35F25
MSC: 35L45
MSC: 35L60
MSC: 35R10
idZBL: Zbl 0639.35078
idMR: MR916946
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Date available: 2009-09-25T10:04:44Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136456
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Reference: [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. Zbl 0355.35059, MR 0492913
Reference: [2] BASSANINI P.: Iterative methods for quasilinear hyperbolic systems.Boll. Un. Mat. Ital. (6) 1-B (1982), 225-250. Zbl 0488.35056, MR 0654933
Reference: [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. MR 0727970
Reference: [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. Zbl 0492.45010, MR 0641736
Reference: [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. MR 0380132
Reference: [6] CESARI L.: A boundary value problem for quasilinear hyperbolic systems.Riv. Mat. Univ. Parma 3 (1974), 107-131. MR 0435616
Reference: [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. MR 0236523
Reference: [8] KAMONT Z.: On the Cauchy problem for non-linear partial differential-functional equations of the first order.Math. Nachr. 88 (1979), 13-29. Zbl 0421.35014, MR 0543390
Reference: [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. Zbl 0313.35012, MR 0499850
Reference: [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). Zbl 0614.35089, MR 0831298
Reference: [11] KAMONT Z., TURO J.: On the Cauchy problem for quasilinear hyperbolic systems with a retarded argument.unpublished. Zbl 0637.35080
Reference: [12] TURO J.: On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order.Czech. Math. J. (to appear). Zbl 0612.35082, MR 0831307
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