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ΜΑΘΗΜΑΤΙΚΑ. — Actual Mathematical Solutions of Problems Posed by Reality, II. (Applications)

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Selected Papers of Demetrios G. Magiros
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Abstract

In the previous paper 3(a), we discussed a classical procedure for finding actual mathematical solutions of real systems in many physical or social fields. The main phases of the procedure were:

  1. A.

    The creation of a theory of the system, which helps its modeling;

  2. B.

    The selection of a “well-posed-model” of the system, which gives a well-posed mathematical problem, and

  3. C.

    The construction of the solution of this problem, which is the “actual solution” of the system.

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References

  1. Courant, R.: «Methods of Applied Mathematics» in the book: «Recent Advances of Science»; Editors: M. H. Shammos and G. M. Murphy, New York University Press, New York, 1956.

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  2. Cunningham, W.: «Simultaneous Non-Linear Equations of Growths», Bulletin, Mathematical Biophysics, Volume 17, 101–110, 1955.

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  3. Magiros, D. G.: (a) «Actual Mathematical Solutions of Problems Posed by Reality, I», Proc., Athens Academy of Sciences, Volume 45, 179–187, 1970. (b) «The Motion of an Artificial Celestial Body under the Influence of a Newtonian Center and a General Force», Proc., XV Intern. Astronautical Congress, Warsaw, Poland, 1964. (c) «Methods for Finding Principal Modes of Non-Linear Systems Utilizing Infinite Determinants», Journal of Mathematical Physics, 2, No. 6, 869–875, 1961.

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  4. Miranker, W.: «A Well-Posed Problem for a Backward Heat Equation», Proc., American Mathematical Society, April, 1961.

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  5. Volterra, V.: «Lecons sur la Théorie Mathématique de la lutte pour la vie», Gauthier-Villars et Cie, Paris, 1931.

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© 1985 D. Reidel Publishing Company, Dordrecht, Holland

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Magiros, D.G. (1985). ΜΑΘΗΜΑΤΙΚΑ. — Actual Mathematical Solutions of Problems Posed by Reality, II. (Applications). In: Tzafestas, S.G. (eds) Selected Papers of Demetrios G. Magiros. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5368-0_5

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  • DOI: https://doi.org/10.1007/978-94-009-5368-0_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8869-5

  • Online ISBN: 978-94-009-5368-0

  • eBook Packages: Springer Book Archive

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