A boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form

 Access to full text

 Full (PDF)

1. [1] L. Cesari, A boundary value problem for quasilinear hyperbolic systems, Rivista Matem. Univ. Parma, to appear. Zbl0342.35036
2. [2] L. Cesari, Oscillazioni non lineari per sistemi iperbolici, Rend. Sem. Mat. Fis. Milano, to appear. Zbl0339.35020MR404868
3. [3] L. Cesari, Un problema ai limiti per sistemi di equazioni iperboliche quasi lineari alle derivate parziali, Rend. Accad. Naz. Lincei, 56, gennaio 1974. Zbl0302.35061MR374690
4. [4] L. Cesari, Un problema ai limiti per sistemi di equazioni iperboliche quasi lineari nella forma canonica di Schauder, Rend. Accad. Naz. Lincei, 56, novembre 1974. Zbl0328.35059MR374690
5. [5] L. Cesari, Existence in the large of periodic solutions of hyperbolic partial differential equations, Archive Rat. Mech. Anal., 20 (1965), pp. 170-190. Zbl0154.35902MR183976
6. [6] M. Cinquini-Cibrario, Sistemi di equazioni alle derivate parziali in più variabili indipendenti, Annali di Matem. pura appl., (4), 44 (1957), pp. 357-417. Zbl0086.29703MR104913
7. [7] M. Cinquini-Cibrario, Teoremi di esistenza per sistemi di equazioni quasi lineari alle derivate parziali in più variabili indipendenti, Annali Mat. pura appl., (4), 75 (1967), pp. 1-46. Zbl0158.11301MR236523
8. [8] M. Cinquini-Cibrario - S. Cinquini, Equazioni alle derivate parziali di tipo iperbolico, Ed. Cremonese, Roma, 1964, pp. VIII+552. Zbl0145.35404MR203199
9. [9] K.O. Friedrichs, Symmetric positive linear differential equations, Comm. pure appl. Math., 11 (1958), pp. 333-418. Zbl0083.31802MR100718
10. [10] J.K. Hale, Periodic solutions of a class of hyperbolic equations, Archive Rat. Mech. Anal., 23 (1967), pp. 380-398. Zbl0152.10002MR206503
11. [11] O. Niccoletti, Sulle condizioni iniziali che determinano gli integrali delle equazioni differenziali ordinarie, Atti Accad. Scienze Torino, 33 (1897), pp. 746-759. Zbl29.0261.02JFM29.0261.02
12. [12] A. Plis, Generalization of the Cauchy problem to a system of partial differential equations, Bull. Acad. Polon. Sci., 4 (1965), pp. 741-744. Zbl0072.10002MR83671
13. [13] L. Sarason, On boundary value problems for hyperbolic equations, Comm. pure appl. Math., 15 (1962), pp. 373-395. Zbl0161.08303MR152749
14. [14] Z. Szmydt, Sur un nouveau type de problèmes pour un système d'équations différentielles hyperboliques du second ordre à deux variables indépendentes, Bull. Acad. Polon. Sci., 4 (1956), pp. 67-72. Zbl0070.09203MR85434
15. [15] Z. Szmydt, Sur une généralisation des problèmes classiques concernant un système d'équations différentielles hyperboliques du seconde ordre à deux variables indépendentes, Bull. Acad. Polon. Sci., 4 (1956), pp. 579-584. Zbl0072.10201MR83661
16. [16] Z. Szmydt, Sur une problème concernant un système d'équations différentielles hyperboliques du second ordre, Bull. Acad. Polon. Sci., 5 (1957), pp. 571-575. Zbl0078.08602MR89981
17. [17] Z. Szmydt, Sur un problème concernant un système d'équations différentielles hyperboliques d'ordre arbitraire à deux variables, Bull. Acad. Polon. Sci., 5 (1957), pp. 577-582. Zbl0078.08701MR89982
18. [18] S. Yosida, Hukuhara's problem for hyperbolic equations with two independent variables, I : Semilinear case, Proc. Japan. Acad., 34 (1958), pp. 319-324. Zbl0082.08902MR97627
19. [19] S. Yosida, Hukuhara's problem for hyperbolic equations with two independent variables, II : Quasilinear case, Proc. Japan Acad., 34 (1958), pp. 466-470. Zbl0091.09005MR100719
20. [20] S. Yosida, Equations for fluid motion and a problem of Hukuhara, Sugaku, 11 (1959-60), pp. 100-102. Zbl0114.29804MR156105
21. [21] S. Yosida, A mixing problem and the data of Hukuhara, Sugaku, 11 (1959-60), pp. 102-105. Zbl0114.29805MR156106

1. Giacomo Caviglia, Angelo Morro, Existence and uniqueness for wave propagation in inhomogeneous elastic solids
2. Piero Bassanini, Sul tempo di esistenza di soluzioni regolari di un sistema iperbolico quasilineare
3. Giovanna Boschi Pettini, Sulla propagazione in un dielettrico non lineare assorbente
4. Jan Turo, Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations
5. Jan Turo, On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order
6. Tomasz Człapiński, On the mixed problem for hyperbolic partial differential-functional equations of the first order
7. Tomasz Człapiński, On the local Cauchy problem for nonlinear hyperbolic functional differential equations
8. Tomasz Człapiński, Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations
9. Tomasz Człapiński, On the existence of generalized solutions of nonlinear first order partial differential-functional equations in two independent variables
10. Jan Turo, Nonlocal problems for first order functional partial differential equations