References
A. S. A. Al-Hammadi and M.S.P. Eastham. Higher-order differential equations with small oscillatory coefficients, J. London Math. Soc., to appear.
M. Bôcher. On regular singular points of linear differential equations of the second order whose coefficients are not necessarily analytic, Trans. Amer. Math Soc. 1 (1900) 40–52.
J. S. Cassell. The asymptotic behaviour of a class of linear oscillators, Quart. J. Math. (Oxford) (2) 32 (1981) 287–302.
J. S. Cassell. The asymptotic integration of some oscillatory differential equations, Quart. J. Math. (Oxford) (2) 33 (1982) 281–296.
M. S. P. Eastham. The asymptotic solution of linear differential systems, Mathematika 32 (1985) 131–138.
M. S. P. Eastham. The asymptotic solution of linear differential systems (London Mathematical Society Monographs, Clarendon Press, Oxford, 1989).
S. Faedo. Il teorema di Fuchs per le equazione differenziali lineari a coefficienti non analitici e proprietà asintotiche delle soluzioni, Ann. Mat. Pura Appl. 25 (1946) 111–133.
A. Ghizzetti. Un teorema sul comportamento asintotico degli integrali delle equazioni differenziali lineari omogenee, Rend. Mat. Appl. 8 (1949) 28–42.
P. Hartman and A. Wintner. On nonoscillatory linear differential equations, Amer. J. Math. 75 (1953) 717–730.
O. Haupt. Über das asymptotische Verhalten der Losungen gewisser linearer gewöhnlicher Differentialgleichungen, Math. Z. 48 (1942) 289–292.
J. Šimša. Asymptotic integration of a second-order ordinary differential equation, Proc. Amer. Math. Soc. 101 (1987) 96–100.
W. F. Trench. Asymptotic integration of linear differential equations subject to mild integral conditions, SIAM J. Math. Anal. 15 (1984) 932–942.
W. F. Trench. Linear perturbations of a nonoscillatory second-order equation, Proc. Amer. Math. Soc. 97 (1986) 423–428.
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Eastham, M.S.P., Al-Hammadi, A.S.A. Asymptotic Solution of Differential Equations with Small Oscillatory Coefficients. Results. Math. 19, 57–73 (1991). https://doi.org/10.1007/BF03322416
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DOI: https://doi.org/10.1007/BF03322416