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Ďurikovič, Vladimír
The Convergence of Successive Approximations for Boundary Value Problems of Hyperbolic Equations in the Banach Space. (English). Matematický časopis, vol. 21 (1971), issue 1, pp. 33-54
MSC: 35A35, 35L50, 35R20, 47H10 | MR 0355387 | Zbl 0209.12302
References:
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[2] Edelstein M.: On fixed and periodic points under contractive mappings. J. London Math. Soc. 37 (1962), 74-79. MR 0133102 | Zbl 0113.16503
[З] Luxemburg W. A. J.: On the couvergence of successive approximations in the theory of ordinary differential equations II. Indag. Math. 20 (1958), 540 546. MR 0124554
[4] Ďurikovič V.: On the uniqueness of solutions and on the convergence of successive approximations for certain initial problems of equations of higher orders. Mat. časop. 20 (1970), 212-224. MR 0352668
[5] Ďurikоvič V.: The existence and uniqueness of solutions of boundary value problems in non-linear partial differential equations of the hyperbolic type. Acta Fac. Rеr. Mat. Univ. Cоmen. - Math. XXIII, (1970), 41-51. MR 0291601
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