Asymptotic formulae for linear oscillations
Glasgow mathematical journal, Tome 2 (1957) no. 3, pp. 105-111

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A number of formulae are known which exhibit the asymptotic behaviour as t→∞ of the solutions ofThe aim of thisnote is to unify a group of such formulae, relating to the case in which F(t) iS on the whole positive, and suitably continuous though not necessarily analytic.
Atkinson, F. V. Asymptotic formulae for linear oscillations. Glasgow mathematical journal, Tome 2 (1957) no. 3, pp. 105-111. doi: 10.1017/S2040618500033542
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[1] 1.Ascoli, G., Revista Univ. Nac. de Tucumdn, Serie A: Mat. y Fis. Tedr, 2 (1941), 131–140. Google Scholar

[2] 2.Ascoli, G., Annali di Mat. Pur. Appl., (4) 26(1947), 199–206. Google Scholar

[3] 3.Levinson, N., Duke Math. J., 15 (1948), 111–126. Google Scholar | DOI

[4] 4.Atkinson, F. V., Annali di Mat. Pur. Appl., (4) 37 (1954), 347–378. Google Scholar | DOI

[5] 5.Wintner, A., Phys. Rev., 72 (1947), 516–517. Google Scholar | DOI

[6] 6.Atkinson, F. V., Univ. Nac. del Tucumdn, Revista, Serie A, Mat. y Fis. Tedr., 8 (1951), 71–87. Google Scholar

[7] 7.Hartman, P. and Wintner, A., Ainer. J. Math., 77 (1955), 45–86. Google Scholar | DOI

[8] 8.Bellman, R., Stability theory of differential equations(New York, 1953). Google Scholar

[9] 9.Bellman, R., Duke Math. J., 22 (1955), 511–513. Google Scholar | DOI

[10] 10.Gusarov, L. A., Moskov. Gos. Univ. Uc. Zap., 165, Mat. 7 (1954), 223–237. Google Scholar

[11] 11.Sobol, I. M., Mat. Sbornik (N.S) 28 (70) (1951), 707–714. Google Scholar

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