Dependence of a differential equation on the first eigenvalue of a suitable problem
Jan Bochenek (1980)
Annales Polonici Mathematici
Similarity:
Jan Bochenek (1980)
Annales Polonici Mathematici
Similarity:
Shmuel Friedland (2015)
Special Matrices
Similarity:
In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.
Behrouz Emamizadeh, Amin Farjudian (2014)
Nonautonomous Dynamical Systems
Similarity:
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. Bartoszewicz (1977)
Applicationes Mathematicae
Similarity:
S. Trybuła (1974)
Applicationes Mathematicae
Similarity:
Dragoš Cvetković, Dragan Stevanović (2003)
Publications de l'Institut Mathématique
Similarity:
Slobodan K. Simić (1995)
Publications de l'Institut Mathématique
Similarity:
Jelena Bulatović, Alobodanka Janjić (1979)
Publications de l'Institut Mathématique
Similarity:
Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
Similarity:
J. Fleckinger, J. Hernández, F. Thélin (2004)
Bollettino dell'Unione Matematica Italiana
Similarity:
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.
Beniamin Goldys (1985)
Banach Center Publications
Similarity:
Jan Bochenek (1990)
Annales Polonici Mathematici
Similarity:
Albert Schneider (1974)
Mathematische Zeitschrift
Similarity:
Jacqueline Fleckinger, Jesús Hernández, François De Thélin (2003)
RACSAM
Similarity:
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 inverse of the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case. ...