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On an eigenvalue problem of Ahmad and Lazer for ordinary differential equations


Author: Marcellino Gaudenzi
Journal: Proc. Amer. Math. Soc. 99 (1987), 237-243
MSC: Primary 34B25
DOI: https://doi.org/10.1090/S0002-9939-1987-0870778-5
MathSciNet review: 870778
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Abstract: In connection with a problem posed by S. Ahmad and A. C. Lazer, we show the existence of a class of nonselfadjoint eigenvalue problems related to the equation $ {y^{(n)}} + \lambda p(x)y = 0$ for which the general eigenvalues comparison is not true. We use a comparison principle for the zeros of the corresponding Cauchy problem.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0870778-5
Keywords: Linear, eigenvalue, comparison, extremal points
Article copyright: © Copyright 1987 American Mathematical Society

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