Ďurikovič, Vladimír The convergence of successive approximations for boundary value problems of hyperbolic equations in the Banach space. (English) Zbl 0209.12302 Mat. Čas., Slovensk. Akad. Vied 21, 33-54 (1971). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 35A35 Theoretical approximation in context of PDEs 35L50 Initial-boundary value problems for first-order hyperbolic systems × Cite Format Result Cite Review PDF Full Text: EuDML References: [1] Borůvka O.: Diferenciálne rovnice. Bratislava, 1961. [2] Edelstein M.: On fixed and periodic points under contractive mappings. J. London Math. Soc. 37 (1962), 74-79. · Zbl 0113.16503 · doi:10.1112/jlms/s1-37.1.74 [3] Luxemburg W. A. J.: On the couvergence of successive approximations in the theory of ordinary differential equations II. Indag. Math. 20 (1958), 540 546. · Zbl 0084.07703 [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. · Zbl 0206.11002 [5] Ďurikovič V.: The existence and uniqueness of solutions of boundary value problems in non-linear partial differential equations of the hyperbolic type. Acta Fac. Rer. Mat. Univ. Comen. - Math. XXIII, (1970), 41-51. · Zbl 0212.12902 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.