On uniqueness and successive approximations in the Darboux problem for the equation $u_{xy} = f(x, y, u, u_x, u_y, ∫^x_0 ∫^y_0 g(x, y, s, t, u(s, t), u_s(s, t), u_t(s, t)) ds dt)$
Annales Polonici Mathematici, Tome 17 (1965) no. 1, pp. 1-11.

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DOI : 10.4064/ap-17-1-1-11

B. Palczewski 1

1
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     title = {On uniqueness and successive approximations in the {Darboux} problem for the equation $u_{xy} = f(x, y, u, u_x, u_y, \ensuremath{\int}^x_0 \ensuremath{\int}^y_0 g(x, y, s, t, u(s, t), u_s(s, t), u_t(s, t)) ds dt)$},
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B. Palczewski. On uniqueness and successive approximations in the Darboux problem for the equation $u_{xy} = f(x, y, u, u_x, u_y, ∫^x_0 ∫^y_0 g(x, y, s, t, u(s, t), u_s(s, t), u_t(s, t)) ds dt)$. Annales Polonici Mathematici, Tome 17 (1965) no. 1, pp. 1-11. doi : 10.4064/ap-17-1-1-11. http://geodesic.mathdoc.fr/articles/10.4064/ap-17-1-1-11/

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