Computing eigenvalues of regular Sturm-Liouville problems.
Dwyer, H.I., Zettl, A. (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dwyer, H.I., Zettl, A. (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lubomír Skála (1977)
Aplikace matematiky
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Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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Ivo Marek (1964)
Matematicko-fyzikálny časopis
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Jan Bochenek (1980)
Annales Polonici Mathematici
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Jan Bochenek (1971)
Annales Polonici Mathematici
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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...
Diaconis, Persi, Neuberger, J.W. (2004)
Experimental Mathematics
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