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On the non-convergence of successive approximations in the theory of ordinary differential equations

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 564))

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References

  1. E.A. Coddington, N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, (1955).

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  2. M. MƱller, Uber das Fundamentaltheorem in der Theorie der gewƑhnlichen Differentialgleichungen, Math.Zeitschr. 26(1927) pp. 619–645.

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  3. G. Vidossich, Most of the successive approximations do converge, Jornal of Math.Anal.Appl., 45(1)(1974),pp. 127–131.

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William N. Everitt Brian D. Sleeman

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© 1976 Springer-Verlag

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Kisielewicz, M. (1976). On the non-convergence of successive approximations in the theory of ordinary differential equations. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087343

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  • DOI: https://doi.org/10.1007/BFb0087343

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

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