Growth and decay of solutions of 𝑦⁽²ⁿ⁾-𝑝𝑦=0

Read, T. T.

doi:10.1090/S0002-9939-1974-0335948-4

Growth and decay of solutions of $y^{(2n)}-py=0$

Author: T. T. Read
Journal: Proc. Amer. Math. Soc. 43 (1974), 127-132
MSC: Primary 34C10
DOI: https://doi.org/10.1090/S0002-9939-1974-0335948-4
MathSciNet review: 0335948
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Abstract: Simple estimates of the rate of growth and decay of certain solutions of ${y^{(2n)}} - py = 0$ on $[0,\infty )$ when $p$ is eventually nonnegative are used to obtain sufficient conditions for the existence of exponential solutions, solutions which approach 0, and ${L^2}(0,\infty )$ solutions.

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