Asymptotic formulae for linear equations
Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 147-152
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Numerous formulae have been given which exhibit the asymptotic behaviour as t → ∞solutions ofwhere F(t) is essentially positive and Several of these results have been unified by a theorem of F. V. Atkinson [1]. It is the purpose of this paper to establish results, analogous to the theorem of Atkinson, for the third order equationand for the fourth order equation
Hinton, Don B. Asymptotic formulae for linear equations. Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 147-152. doi: 10.1017/S0017089500001579
@article{10_1017_S0017089500001579,
author = {Hinton, Don B.},
title = {Asymptotic formulae for linear equations},
journal = {Glasgow mathematical journal},
pages = {147--152},
year = {1972},
volume = {13},
number = {2},
doi = {10.1017/S0017089500001579},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001579/}
}
[1] 1.Atkinson, F. V., Asymptotic formulae for linear oscillations, Proc. Glasgow Math. Assoc. 3 (1957), 105–111. Google Scholar
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[3] 3.Coddington, E. A. and Levinson, N., Theory of Ordinary Differential Equations (New York, 1955). Google Scholar
[4] 4.Hinton, D. B., Asymptotic behaviour of solutions of (ry(m))(k) ±qy = 0, J. Differential Equations 4 (1968), 590–596. Google Scholar
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