| Title:
|
The third boundary value problem for a nonlinear system of second order hyperbolic integro-differential equations (English) |
| Author:
|
Borzymowski, Andrzej |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
271-283 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35L20 |
| MSC:
|
35L70 |
| idZBL:
|
Zbl 0939.35125 |
| idMR:
|
MR1647698 |
| . |
| Date available:
|
2009-09-25T11:30:31Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136727 |
| . |
| Reference:
|
[1] BORZYMOWSKI A.: A nonlinear Neumann-type problem for a system of high order integro-differential equations.Z. Anal. Anwendungen 12 (1993), 729-743. MR 1264865 |
| Reference:
|
[2] CHEN, CH.-WAHL W. VON.: Das Rand-Anfangswertproblem für quasilineare Wellengleichungen in Sobolevräumen niedriger Ordnung.J. Reine Angew. Math. 337 (1982), 77-112. Zbl 0486.35053, MR 0676043 |
| Reference:
|
[3] IKAWA M.: On the mixed problem for hyperbolic equations of second order with the Neumann boundary conditions.Osaka J. Math. 7 (1970), 203-223. MR 0283395 |
| Reference:
|
[4] LADYZHENSKAYA O. A.: Mixed ProЫem for a Hyperbolic Equation.Gos. Izd. Techn.-Teoret. Lit., Moscow, 1953. (Russian) |
| Reference:
|
[5] LASIECKA J.-STAHEL A.: The wave equation with semilinear Neumann boundary conditions.Nonlinear Anal. 15 (1990), 39-58. Zbl 0738.35044, MR 1058769 |
| Reference:
|
[6] LIONS J. L.-MAGENES E.: Non-homogeneous Boundary Value Problems and Applications.Springer-Verlag, Berlin-Heidelberg-New York, 1972. Zbl 0227.35001 |
| Reference:
|
[7] MIYATAKE S.: On the mixed problem for hyperbolic equations of second order with the Neumann boundary condition.J. Math. Kyoto Univ. 13 (1973), 435-487. MR 0333467 |
| Reference:
|
[8] MAKSUDOV F. G.-KHUDAVERIEV F. K.: A study of multidimensional mixed problem for a class of nonlinear hyperbolic equations.Dokl. Akad. Nauk SSSR 310 (1990), 539-542. (Russian) |
| Reference:
|
[9] SHIBATA Y.-TSUTSUMI Y.: Local existence of solution of the initial boundary value problem of fully nonlinear wave equation.Nonlinear Anal. 11 (1987), 335-365. MR 0881723 |
| Reference:
|
[10] SHIBATA Y.: On the Neumann problem for some linear hyperbolic system of 2nd order with coefficients in Sobolev spaces.Tsukuba J. Math. 13 (1989), 283-352. MR 1030219 |
| Reference:
|
[11] SHIBATA Y.-KIKUCHI M.: On the mixed problem for some quasi-linear hyperbolic system with fully nonlinear boundary condition.J. Differential Equations 80 (1989), 154-197. MR 1003254 |
| Reference:
|
[12] SHIBATA Y.-NAHAMURA G.: On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order.Math. Z. 202 (1989), 1-64. Zbl 0652.35077, MR 1007739 |
| Reference:
|
[13] SZMYDT Z.: Sur un nouveau type des problemes pour un systéme d'equations differentielles hyperboliques du second ordre á deux variables indépendantes.Bull. Acad. Polon. Sci. CI. Ill 4 (1956), 67-72. MR 0085434 |
| Reference:
|
[14] WEIDEMAIER P.: Existence of regular solutions for a quasi-linear wave equation with the third boundary condition.Math. Z. 191 (1985), 449-465. MR 0824445 |
| . |
