A Note on Eigenvalue Problems with Eigenvalue Parameter in the Boundary Conditions.
Albert Schneider (1974)
Mathematische Zeitschrift
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Albert Schneider (1974)
Mathematische Zeitschrift
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Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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Johann Walter (1973)
Mathematische Zeitschrift
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Herbert Amann (1972)
Mathematische Annalen
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Milutin Dostanić (1993)
Matematički Vesnik
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Cao, Xifang, Wu, Hongyou (2004)
International Journal of Mathematics and Mathematical Sciences
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Usmani, Riaz A., Sakai, Manabu (1987)
International Journal of Mathematics and Mathematical Sciences
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Martínez, Sandra, Rossi, Julio D. (2002)
Abstract and Applied Analysis
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R. Zezula, J. Roček, A. Miasnikov (1977)
Acta Universitatis Carolinae. Mathematica et Physica
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Shmuel Friedland (2015)
Special Matrices
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In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.
A. G. Ramm (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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The main results of this paper are: 1) a proof that a necessary condition for 1 to be an eigenvalue of the S-matrix is real analyticity of the boundary of the obstacle, 2) a short proof that if 1 is an eigenvalue of the S-matrix, then k² is an eigenvalue of the Laplacian of the interior problem, and that in this case there exists a solution to the interior Dirichlet problem for the Laplacian, which admits an analytic continuation to the whole space ℝ³ as an entire function.