Regular Eigenvalue Problems with Eigenvalue Parameter in the Boundary Condition.
Johann Walter (1973)
Mathematische Zeitschrift
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Johann Walter (1973)
Mathematische Zeitschrift
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Shiu-Yuen Cheng (1975)
Mathematische Zeitschrift
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Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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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.
Jan Bochenek (1980)
Annales Polonici Mathematici
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Reinhard Mennicken, Manfred Möller (1987/88)
Mathematische Annalen
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Herbert Amann (1976)
Mathematische Zeitschrift
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Christopher D.H. Cooper (1973)
Mathematische Zeitschrift
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Behrouz Emamizadeh, Amin Farjudian (2014)
Nonautonomous Dynamical Systems
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In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will...
J. Fleckinger, J. Hernández, F. Thélin (2004)
Bollettino dell'Unione Matematica Italiana
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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.