- Arosio , A. and Spagnolo , S. 1984 . “ Global solutions to the Cauchy problem for a nor, linear hyperbolzc equation ” . In Res. Notes Math. Edited by: Brezis , H. and Lions , -J. L. Vol. 109 , 1 – 26 .
- Bernstein , S. 1940 . Sur une classe d'equations fonctionnelles aur d erivees parlielles. . Izv. Akad. Nauk SSSR, Ser. Mat. , 4 : 17 – 26 .
- Carrier , G. F. 1945 . On the non linear vibration problem of the elastic string. . Quart. Appl. Math. , 3 : 157 – 165 .
- D'Ancona. , P. and Spagnolo , S. 1991 . On the life span of the analytic solutions to quasilinear weakly hyperbolic equations. . Indiana Univ. Math. J , 40 ( 1 ) : 71 – 99 .
- D'Ancona , P. and Spagnolo , S. 1992 . Global solvability for the degenerate Kirchhoff equation with red analytic data . Invent. Math. , 108 ( 2 ) : 247 – 262 .
- Frota , C. L. 1994 . Non local solutions of a nonlinear hyperbolic partial diflerential equatzon . Portugaliae Mathernatica , 51 ( 3 ) : 455 – 473 .
- Gourdin , D. 1993 . Problemes de Cauchy et de Goursat pour certaines equations non lineaires . C.R.A.S. de Paris, T. , 316 ( 8 ) : 799 – 802 .
- Gourdin. , D. and Mechab , M. 1994 . Probleme de Goursat non lznenzre duns les classes de Gevery . C. R Acad. Sc. de Paris. T. , 319 ( 12 ) : 1269 – 1272 .
- Gourdin , D. and Mechab , M. 1996 . Problime de Goursat non lineaire dans les classes de Gewrey, pour des equations de Kirchhoflgeneralisles. . A paraitre dans J . Math. Pures et Appl. , 6
- Gourdin D. Mechab M. Proposition de note auz: Comptes Rendus dr I'Acad. Sci. Paris
- Kirchhoff , G. 1883 . Vorlesungen U ber Mechanik. , Teubner : Leipzig .
- Lada , A. 1994 . Investigations of solutions of nonlinear hyperbolic equations with a small nonlinearity, an applications. . SIAM J . Math. Anal. , 25 ( 5 ) : 1303 – 1319 .
- Leray , J. and Ohya , Y. 1964 . SystPmes lineaires, hyperboliques non strictes, Colloque de Liege . CBRM , : 105 – 144 .
- Leray , J. and Waelbroeck , L. 1964 . Normes formelles d'une fonction composee. Colloque de Liege . CBRM , : 145 – 152 .
- Lions , J. L . 1978 . “ On some questions in boundary value problem of mathematical physics ” . In in Contemporary Developments in Cont. Mech. and Partial Differential Equations, North Holland, Math. Studies Edited by: Medeiros , L. A. and de la Penha , G. M. 284 – 346 .
- Medeiros , L. A. 1979 . On a new class of non linear wave equations. . J . Math. Anal. Appl. , 69 ( 1 ) : 252 – 262 .
- Menzala , G. P. 1979 . On classical solutions of a quasilinear hyperbolic equation. . Non-Linear Anal. , 3 ( 5 ) : 613 – 627 .
- Mizohata , s. 1961 . Analyticity of solutions of hyperbolic systems with analytic coeffi-cients. . Comm. on Pure and Applied Math. , 14 : 547 – 559 .
- Narashima , R. 1968 . Non linear vibration of an elastic string. . J . Sound Vibration , 8 : 134 – 146 .
- Pohozaev , S. I. 1975 . On a classe of quasilinear hyperbolic equations. . Math. Sbornik , 96 ( 1 ) : 145 – 158 .
- Riviera Rodriguez , P. H. 1980 . On local strong solution of a non linear partial diflerential equation. . Appl. Anal. , 10 ( 2 ) : 93 – 104 .
- Wagschal , C. 1979 . Le problime de Goursat non lineaim. . J . Math. Pure et Appl. , 58 ( 3 ) : 309 – 337 .
Communications in Partial Differential Equations
Volume 23, 1998 - Issue 5-6