Geodesic
On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type $u_{xy}=f(x,y,u,u_x,u_y)$
Archivum mathematicum, Tome 4 (1968) no. 4, pp. 223-235

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Classification : 35A35, 35L20 
Ďurikovič, Vladimír. On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type $u_{xy}=f(x,y,u,u_x,u_y)$. Archivum mathematicum, Tome 4 (1968) no. 4, pp. 223-235. http://geodesic.mathdoc.fr/item/ARM_1968_4_4_a3/
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     title = {On the uniqueness of solutions and the convergence of successive approximations in the {Darboux} problem for certain differential equations of the type $u_{xy}=f(x,y,u,u_x,u_y)$},
     journal = {Archivum mathematicum},
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     mrnumber = {0262644},
     zbl = {0208.12901},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1968_4_4_a3/}
}
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[1] Kampen van E. R.: Notes on systems of ordinary differential equations. American Journal of Math. 63 (1941), pp. 371-376. | MR

[2] Luxemburg W. A. J.: On the convergence of successive approximations in the theory of ordinary differential equations II. Indag. Math. 20 (1958), pp. 540-546. | MR | Zbl

[3] Luxemburg W. A. J.: On the convergence of successive approximations in the theory of ordinary differential equations III. Nieuw Archief voor Wiskunde (3), VI (1958), pp. 93-98. | MR | Zbl

[4] Palczewski B.: On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem under the conditions of the Krasnosilski and Krein type. Ann. polon. Math. 14 (1964), pp. 183-190. | MR

[5] Ф. Tpикоми: Лекции пo ypaвнениям в частых производных. Mocквa 1957, pp 205-216.

[6] Wong J. S. W.: On the convergence of successive approximations in the Darboux problem. Ann. Polon. Math. XVII (1966), pp. 329-336. | MR | Zbl

[7] Wong J. S. W.: Remarks on uniqueness theorem of solutions of the Darboux problem. Canad. Math. Bull. 8 (1965), pp. 791-796. | MR