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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Construction of a differential equation $ y''+Ay=0$ with solutions having the prescribed zeros


Author: Li-Chien Shen
Journal: Proc. Amer. Math. Soc. 95 (1985), 544-546
MSC: Primary 34A20; Secondary 30D20
MathSciNet review: 810160
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Abstract: We show that an entire function $ A(z)$ can be constructed so that the differential equation $ y'' + Ay = 0$ has two linearly independent solutions having the prescribed points as their only zeros.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0810160-8
PII: S 0002-9939(1985)0810160-8
Keywords: Entire function, multiplicity, zeros of solutions, linearly independent solution
Article copyright: © Copyright 1985 American Mathematical Society