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On the asymptotic behavior of the solutions of second order linear differential equations. (English) Zbl 0371.34032


MSC:

34D05 Asymptotic properties of solutions to ordinary differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30 Linear ordinary differential equations and systems
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References:

[1] Bellman, R., Stability Theory of Differential Equations (1953), McGraw-Hill: McGraw-Hill New York · Zbl 0052.31505
[2] Cesari, L., Asymptotic Behavior and Stability Problems in Ordinary Differential Equations (1963), Springer-Verlag: Springer-Verlag Berlin · Zbl 0111.08701
[3] Coppel, W. A., Stability and Asymptotic Behavior of Differential Equations (1965), Heat: Heat Boston, Mass · Zbl 0154.09301
[4] Coppel, W. A., Disconjugacy (1971), Springer-Verlag: Springer-Verlag Berlin · Zbl 0224.34003
[5] Hartman, P.; Wintner, A., On the Laplace-Fourier transcendents, Amer. J. Math., 71, 367-372 (1949) · Zbl 0040.34101
[6] Hartman, P., Ordinary Differential Equations (1964), Wiley: Wiley New York · Zbl 0125.32102
[7] Hochtadt, H., On the stability of certain second-order differential equations, J. Soc. Ind. Appl. Math., 12, 58-59 (1964) · Zbl 0123.05102
[8] Marini, M., Criteri di limitatezza per le soluzioni dell’equazione lineare del secondo ordine, Boll. U.M.I., 4, 154-165 (1975) · Zbl 0332.34027
[9] Moore, R. A., The behavior of solutions of a linear differential equation of second-order, Pacific J. Math., 5, 125-145 (1955) · Zbl 0064.08401
[10] Nemytskii, V. V.; Stepanov, V. V., Qualitative Theory of Differential Equations (1960), Princeton Univ. Press: Princeton Univ. Press Princeton, New Jersey · Zbl 0089.29502
[11] Richard, U., Serie asintotiche per una classe di equazioni differenziali non oscillanti del secondo ordine, (Univ. Polit. Torino, Rend. Sem. Mat., 23 (1964)), 171-217 · Zbl 0128.31102
[12] Sansone, G., (Equazioni Differenziali Nel Campo Reale, Vol. II (1941), Zanichelli: Zanichelli Bologna)
[13] Swanson, C. A., Comparison and Oscillatory Theory of Linear Differential Equations (1968), Academic Press: Academic Press New York · Zbl 0191.09904
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