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On the uniqueness of solutions and on the convergence of successive approximations for certain initial problems of equations of the higher orders. (English) Zbl 0206.11002

MSC:
35A35 Theoretical approximation in context of PDEs
35G25 Initial value problems for nonlinear higher-order PDEs
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References:
[1] Bauer F.: A note on uniqueness and convergence of successive approximations. Canad. Math. Bull. 2 (1959), 5-8.
[2] Brauer F.: Some results on uniqueness and successive approximations. Canad. J. Math. 11 (1959), 527-533. · Zbl 0142.34305 · doi:10.4153/CJM-1959-049-0
[3] Красносєльский М. А., Крєйн С. Г.: O6 одном классє мєорєм єдунсмєєнносму для уравнєнуя \(y' = f(x, y)\). Ycnexn matem, наук 11 (1965), 209-213.
[4] Palczewski B.: On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem under the conditions of the Krasnosielski and Krein type. Ann. Polon. Math. 14 (1964), 183-190. · Zbl 0132.07301
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