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Stability of the calculation of some functionals of the eigenfunctions of a Sturm-Liouville problem in an infinite interval

✍ Scribed by E.S. Birger


Publisher
Elsevier Science
Year
1968
Weight
520 KB
Volume
8
Category
Article
ISSN
0041-5553

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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