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Singular Eigenvalue Problems for the Equation y (n) + λp(x)y = 0

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Abstract.

The paper studies singular eigenvalue problems for the equation y (n) + λp(x)y = 0 with boundary conditions imposed on the derivatives y (i) at the points x = a and x = ∞. We look for singular problems which are analogous to regular problems on a finite interval. It is characterized when each eigenfunction has a finite number of zeros and when the spectrum is discrete or continuous, respectively.

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  1. Technion, Haifa, Israel

    Uri Elias

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  1. Uri Elias
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Elias, U. Singular Eigenvalue Problems for the Equation y (n) + λp(x)y = 0. Monatsh. Math. 142, 205–225 (2004). https://doi.org/10.1007/s00605-003-0048-z

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  • DOI: https://doi.org/10.1007/s00605-003-0048-z

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