Extrema of functions of eigenvalues |
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| Authors: | Barry E Willner Thomas J Mahar |
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| Institution: | IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598 USA;Department of Engineering Science and Applied Mathematics, Northwestern University, Evanston, Illinois 60201 USA |
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| Abstract: | We consider the question of finding an extreme value for some function of the eigenvalues of the differential equation y″ + λφ(x) y = 0,y(0) = y(1) = 0, as φ(x) varies over a region in a function space. A characterization of the φ(x) at which the function of the eigenvalues achieves its extremum is derived. |
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