On the Maximum and Minimum of Some Funct
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H.H. Chern; C.L. Shen
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Article
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1994
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Elsevier Science
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English
โ 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