A note on Sturm-Liouville problems whose spectrum is the set of prime numbers
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...
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| Format: | Article |
| Language: | English |
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Texas State University
2011-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/123/abstr.html |