TITLE

# A NOTE ON STURM-LIOUVILLE PROBLEMS WHOSE SPECTRUM IS THE SET OF PRIME NUMBERS

AUTHOR(S)
MINGARELLI, ANGELO B.
PUB. DATE
April 2011
SOURCE
Electronic Journal of Differential Equations;2011, Vol. 2011, Special section p1
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We show that there is no classical regular Sturm-Liouville problem on a finite interval whose spectrum consists of infinitely many distinct primes numbers. In particular, this answers in the negative a question raised by Zettl in his book, [9]. We also show that there may exist such a problem if the parameter dependence is nonlinear.
ACCESSION #
83834563

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