On a class of perturbations of the harmonic oscillator

Hartman, Philip

doi:10.1090/S0002-9939-1968-0224927-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On a class of perturbations of the harmonic oscillator
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by Philip Hartman

Proc. Amer. Math. Soc. 19 (1968), 533-540

DOI: https://doi.org/10.1090/S0002-9939-1968-0224927-0

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References

F. V. Atkinson, The asymptotic solution of second-order differential equations, Ann. Mat. Pura Appl. (4) 37 (1954), 347–378. MR 67289, DOI 10.1007/BF02415105
Philip Hartman, On the zeros of solutions of second order linear differential equations, J. London Math. Soc. 27 (1952), 492–496. MR 50112, DOI 10.1112/jlms/s1-27.4.492
Robert B. Kelman and Niel K. Madsen, Stable motions of the linear adiabatic oscillator, J. Math. Anal. Appl. 21 (1968), 458–465. MR 223646, DOI 10.1016/0022-247X(68)90229-1