Zeitschrift für angewandte Mathematik und Physik ZAMP

July 1973, Volume 24, Issue 4, pp 537–547 | Cite as

Étude sur l'application de la méthode des problèmes auxiliaires unidimensionnels à differénts types de fonctionnelles non linéaires

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• Par Claude Schwab

Articles Originaux

Received: 30 March 1973

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Zusammenfassung

Die Methode der Hilfsprobleme bis jetzt fürlineare Probleme verwendet [1,2,3,4,5], ist in vorliegender Arbeit auf 3 verschiedene Typennicht linearer Funktionale verbreitet.

Summary

The method of one-dimensional auxiliary problems applied until now tolinear problems [1,2,3,4,5] has been extended to the case of three differentnon-linear functionals.

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Bibliographie

1. [1]
   J. Hersch,Sur la fréquence fondamentale d'une membrane vibrante: évaluation par défaut et principe de maximum, Z. angew. Math. Phys.11, 387 (1960).Google Scholar
2. [2]
   J. Hersch,On the Methods of One-dimensional Auxiliary Problems and of Domain Partitioning: Their Application to Lower Bounds for the Eigenvalues of Schrödinger's Equation, J. Math. and Phys.43, 15 (1964).Google Scholar
3. [3]
   J. Hersch etL. E. Payne,One-dimensional Auxiliary Problems and a Priori Bounds, Abhand. Math. Sem. Univ. Hamburg36, 57 (1971).Google Scholar
4. [4]
   L.E. Payne etH.F. Weinberger,Lower Bounds for Vibration Frequencies of Elastically Supported Membranes and Plates, J. Soc. Indust. Appl. Math.5, 171 (1957).Google Scholar
5. [5]
   J. Barta,Sur la vibration fondamentale d'une membrane, C. R. Acad. Sci. Paris204, 472 (1937).Google Scholar

Copyright information

© Birkhäuser-Verlag 1973

Authors and Affiliations

• Par Claude Schwab
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1. 1.Management Services S.A.SSIHBienne