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Bemerkungen zu verschiedenen Eindeutigkeitskriterien für gewöhnliche Differentialgleichungen. (German) Zbl 0125.04401


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[1] Bompiani, E.: Un teorema die confronto ed un teorema de unicità per l’equazione differenzialey?=f(x,y). Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. (6)1, 298-302 (1925). · JFM 51.0331.06
[2] Brauer, F.: A note on uniqueness and convergence of successive approximations. Canad. Math. Bull.2, 5-8 (1959). · Zbl 0084.07801 · doi:10.4153/CMB-1959-002-4
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[5] Gutzkow, K.: Uriel Acosta. Trauerspiel in fünf Aufzügen, 7. Aufl. Jena: Hermann Costenoble 1871.
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[7] Kooi, O.: The method of successive approximations and a uniqueness theorem of Krasnoselskii and Krein in the theory of differential equations. Nederl. Akad. Wetensch. Proc. Ser. A61. =Indag. Math.20, 322-327 (1958). · Zbl 0084.28402
[8] Krasnosel’skii, M. A., andS. G. Krein: On a class of uniqueness theorems for the equationy?=f(x,y). Uspehi Mat. Nauk (N.S.)11, 209-213 (1956).
[9] Luxemburg, W. A. J.: On the convergence of successive approximations in the theory of ordinary differential equations. Canad. Math. Bull.1, 9-20 (1956). · Zbl 0081.07802 · doi:10.4153/CMB-1958-003-5
[10] Olech, C.: Remarks concerning criteria for uniqueness of solutions of ordinary differential equations. Bull. Acad. Polon. Sci., Sér. sci. math., astr. et phys.8, 661-666 (1960). · Zbl 0173.33701
[11] Perron, O.: Über Ein-und Mehrdeutigkeit des Integrals eines Systems von Differentialgleichungen. Math. Ann.95, 98-101 (1926). · JFM 51.0331.07 · doi:10.1007/BF01206598
[12] Walter, W.: Eindeutigkeitssätze für gewöhnliche, parabolische und hyperbolische Differentialgleichungen. Math. Z.74, 191-208 (1960). · Zbl 0094.29206 · doi:10.1007/BF01180483
[13] ? Differential- und Integral-Ungleichungen. Springer Tracts in Natural Philosophy Bd. 2. Berlin-Göttingen-Heidelberg: Springer 1964 (im Druck).
[14] Über sukzessive Approximation bei Volterra-Integralgleichungen in mehreren Veränderlichen. Acta Societatis Scientiarum Fennicae (1964a) (im Druck).
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