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Asymptotics for a class of fourth order differential equations. (English) Zbl 0278.34049


MSC:

34E05 Asymptotic expansions of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
Full Text: DOI

References:

[1] Walker, P. W., Asymptotica of the solutions to [(ry″)′ − py′]′ + qy = σ \(y\), J. Differential Equations, 9, 108-132 (1971) · Zbl 0211.11202
[2] Levinson, N., The asymptotic nature of the solutions of linear systems of differential equations, Duke Math. J., 15, 111-126 (1948) · Zbl 0040.19402
[3] Fedorjuk, M. V., Asymptotic properties of the solutions of ordinary \(n\)-th order linear differential equations, J. Differential Equations, 2, 250-258 (1966) · Zbl 0176.05502
[4] Dieudonne´, J., Foundations of Modern Analysis (1960), Academic Press: Academic Press New York · Zbl 0100.04201
[5] P. W. WalkerSIAM J. Math. Anal.; P. W. WalkerSIAM J. Math. Anal. · Zbl 0204.40003
[6] Lorch, E. R., Spectral Theory (1962), Oxford Press: Oxford Press New York · Zbl 0151.19702
[7] Coddington, E. A.; Levinson, N., Theory of Ordinary Differential Equations (1955), McGraw-Hill: McGraw-Hill New York · Zbl 0042.32602
[8] Coppel, W. A., Stability and Asymptotic Behavior of Differential Equations (1965), Heath: Heath Boston · Zbl 0154.09301
[9] Wasow, W., Asymptotic Expansions for Ordinary Differential Equations (1965), Wiley-Interscience: Wiley-Interscience New York · Zbl 0169.10903
[10] Naimark, M. A., Linear Differential Operators Part II (1968), Frederick Ungar: Frederick Ungar New York · Zbl 0227.34020
[11] Eastham, M. S.P., On the limit-point classification of fourth-order differential equations, J. London Math. Soc., 44, 273-281 (1969) · Zbl 0191.44001
[12] A. DevinatzQuart. J. Math.; A. DevinatzQuart. J. Math. · Zbl 0263.34022
[13] Walker, P. W., Deficiency indices of fourth-order singular differential operators, J. Differential Equations, 9, 133-140 (1971) · Zbl 0211.11203
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