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Some applications of the new maximum-minimum theory of eigenvalues

โœ Scribed by Alexander Weinstein


Publisher
Elsevier Science
Year
1965
Tongue
English
Weight
296 KB
Volume
12
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES


On the Maximum and Minimum of Some Funct
โœ H.H. Chern; C.L. Shen ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 461 KB

Let \(\lambda_{n}(q)\) be the \(n\)th eigenvalue of the Sturm-Liouville equation \(y^{\prime \prime}+(\lambda-q(x)) y=0\), \(y(-l / 2)=y(l / 2)=0\). With certain restrictions on the class of functions \(q\) we determine the shapes of the solutions of the extremal problems for the functionals \(\lamb