Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations

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1. [1] 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. Zbl0355.35059
2. [2] P. Bassanini, Iterative methods for quasilinear hyperbolic systems, ibid. (6) 1-B (1982), 225- 250. Zbl0488.35056
3. [3] P. Bassanini, The problem of Graffi-Cesari, in: Nonlinear Phenomena in Math. Sci., V. Lakshmikantham (ed.), Proc. Arlington 1980, Academic Press, 1982, 87-101. 
4. [4] P. Bassanini e E. Filliaggi, Schemi iterativi a accelerazione della convergenza per operatori di contrazione nel prodotto di due spazi di Banach, Atti Sem. Mat. Fis. Modena 28 (1979), 249-279. Zbl0444.65034
5. [5] L. Cesari, A boundary value problem for quasilinear hyperbolic systems, Riv. Mat. Univ. Parma 3 (1974), 107-131. Zbl0342.35036
6. [6] 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. Zbl0307.35063
7. [7] T. Człapiński, On the Cauchy problem for quasilinear hyperbolic systems of partial differential-functional equations of the first order, Z. Anal. Anwendungen 10 (1991), 169-182. Zbl0763.35055
8. [8] T. Człapiński, A boundary value problem for quasilinear hyperbolic systems of partial differen- tial-functional equations of the first order, Boll. Un. Mat. Ital. (7) 5-B (1991), 619-637. 
9. [9] T. Człapiński and Z. Kamont, Generalized solutions of quasi-linear hyperbolic systems of partial differential-functional equations, to appear. Zbl0798.35149
10. [10] J. Hale, Functional Differential Equations, Springer, New York 1971. Zbl0222.34003
11. [11] Z. Kamont, Existence of solutions of first order partial differential-functional equations, Comment. Math. 25 (1985), 249-263. Zbl0609.35017
12. [12] Z. Kamont and 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. Zbl0614.35089
13. [13] Z. Kamont and J. Turo, On the Cauchy problem for quasilinear hyperbolic systems with a retarded argument, Ann. Mat. Pura Appl. 143 (1986), 235-246. Zbl0637.35080
14. [14] Z. Kamont and J. Turo, A boundary value problem for quasilinear hyperbolic systems with a retarded argument, Ann. Polon. Math. 47 (1987), 347-360. Zbl0658.35085
15. [15] Z. Kamont and J. Turo, Generalized solutions of boundary value problems for quasilinear systems with retarded argument, Radovi Mat. 4 (1988), 239-260. Zbl0686.35074
16. [16] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Vol. 2, Academic Press, New York 1969. Zbl0177.12403
17. [17] N. Mattioli and M. C. Salvatori, A theorem of existence and uniqueness in nonlinear dispersive optics, Atti Sem. Mat. Fis. Univ. Modena 28 (1979), 405-424. Zbl0446.35064
18. [18] A. Salvadori, Sul problema di Cauchy per una struttura ereditaria di tipo iperbolico. Esistenza, unicità e dipendenza continua, ibid. 32 (1983), 329-356. 
19. [19] J. Turo, A boundary value problem for quasilinear hyperbolic systems of hereditary partial differential equations, ibid. 34 (1985-86), 15-34. 
20. [20] J. Turo, On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order, Czechoslovak Math. J. 36 (111) (1986), 185-197. Zbl0612.35082
21. [21] J. Turo, Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations, Math. Slovaca 37 (1987), 375-387. 
22. [22] J. Turo, A boundary value problem for hyperbolic systems of differential-functional equations, Nonlinear Anal. 13 (1) (1989), 7-18. Zbl0678.35090