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Zum dirichlet-problem der helmholtzschen schwingungsgleichung für ein gestaffeltes streckengitter

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Literatur

  1. Carlson, J. F., & A. E. Heins: The reflection of electromagnetic waves by an infinite set of plates. I. Quart. Appl. Math. 4, 313 (1946).

    Google Scholar 

  2. Carlson, J. F., & A. E. Heins: The reflection of electromagnetic waves by an infinite set of plates. II. Quart. Appl. Math. 5, 82 (1947).

    Google Scholar 

  3. Carlson, J. F., & A. E. Heins: The reflection of electromagnetic waves by an infinite set of plates. III. Quart. Appl. Math. 8, 281 (1950).

    Google Scholar 

  4. Baldwin, G. L., & A. E. Heins: On the diffraction of a plane wave by an infinite plane grating. Math. Scand. 2, 103 (1954).

    Google Scholar 

  5. Heins, A. E.: The Green's function for periodic structures in diffraction theory with an application to parallel plate media. I. J. Math. Mech. 6, 401 (1957).

    Google Scholar 

  6. Heins, A. E.: The Green's function for periodic structures in diffraction theory with an application to parallel plate media. II. J. Math. Mech. 6, 629 (1957).

    Google Scholar 

  7. Müller, Cl.: Zur Methode der Strahlungskapazität von H. Weyl. Math. Z. 56, 80 (1952).

    Google Scholar 

  8. Leis, R.: Über das Neumannsche Randwertproblem für die Helmholtzsche Schwingungsgleichung. Arch. Rational Mech. Anal. 2, 101 (1958).

    Google Scholar 

  9. Meister, E.: Beitrag zur Aerodynamik eines schwingenden Gitters. II. (Unterschallströmung.) Z. angew. Math. Mech. (im Druck).

  10. Noble, B.: Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations. London: Pergamon Press 1958.

    Google Scholar 

  11. Kamke, E.: Differentialgleichungen, Lösungsmethoden und Lösungen, Bd. 1. Leipzig: Akademische Verlagsgesellschaft 1944.

    Google Scholar 

  12. Jones, D. S.: The eigenvalues of 100-01 when the boundary conditions are given on semi-infinite domains. Proc. Cambridge Phil. Soc. 49, 668 (1953).

    Google Scholar 

  13. Doetsch, G.: Handbuch der Laplace-Transformation, Bd. 1. Basel: Birkhäuser 1950.

    Google Scholar 

  14. Erdlyi, A., W. Magnus, F. Oberhettinger & F. G. Tricomi: Higher Transcendental Functions, Vol. 1. New York: McGraw Hill 1953.

    Google Scholar 

  15. Bromwich, T. J.: An Introduction to the Theory of Infinite Series, 2. Aufl. London 1926.

  16. Erdélyi, A., W. Magnus, F. Oberhettinger & F. G. Tricomi: Tables of Integral Transforms, Vol. 1. New York: McGraw Hill 1954.

    Google Scholar 

  17. Muskhelishvili, N. J.: Singular Integral Equations. Groningen: Noordhoff 1953.

    Google Scholar 

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Vorgelegt von C. Müller

Diese Arbeit entstand mit teilweiser Unterstützung des Chief of Research and Development, U.S. Department of the Army, European Office, unter der Vertrags-nummer DA-91-591-EUC-1739, OI-7554-61.

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Meister, E. Zum dirichlet-problem der helmholtzschen schwingungsgleichung für ein gestaffeltes streckengitter. Arch. Rational Mech. Anal. 10, 67–100 (1962). https://doi.org/10.1007/BF00281178

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  • DOI: https://doi.org/10.1007/BF00281178

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