Asymptotic Behaviour of Disconjugate nth Order Differential Equations
Canadian journal of mathematics, Tome 23 (1971) no. 2, pp. 293-314

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An ordered set (u 1, ..., un ) of positive Cn (a, b)-solutions of the linear differential equation 1.1 will be called fundamental principal system on [a, b) provided that 1.2 and 1.3 A system (u 1, ..., un) satisfying just (1.2) will be called a principal system on [a, b). In any principal system (u 1, ..., un ) the solution u 1 will be called a minimal solution.
Willett, D. Asymptotic Behaviour of Disconjugate nth Order Differential Equations. Canadian journal of mathematics, Tome 23 (1971) no. 2, pp. 293-314. doi: 10.4153/CJM-1971-030-4
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[1] 1. Dini, U., Studii sulle equazioni differenziali lineari, Ann. Mat. Pura Appl. (3) 11 (1905), 285–335. Google Scholar

[2] 2. Dunkel, O., Regular singular points of a system of homogeneous linear differential equations of the first order, Amer. Acad. Arts and Sci. 88 (1902), 339–370. Google Scholar

[3] 3. Faedo, S., II teorema di Fuchs per le equazioni differenziali lineari a coefficient non analitici e propriété asintotiche delle soluzioni, Ann. Mat. Pura Appl. (4) 25 (1946), 111–133. Google Scholar

[4] 4. Faedo, S., Sulla stability delle soluzioni delle equazioni differenziali lineari. I, II, III, IV, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 2 (1947), 564–570, 757-764; 8 (1947), 37-43, 192-198. Google Scholar

[5] 5. Fink, A. M., An extension of Polya's theorem, J. Math. Anal. Appl. 28 (1968), 625–627. Google Scholar

[6] 6. Ghizzetti, A., Sul comportamento asintotico degli integrali delle equazioni differenziali ordinarie, lineari ed omogenee, Giorn. Mat. Battaglini (4) 1 (77) (1947), 5–27. Google Scholar

[7] 7. Halanay, A., Comportement asymptotique des solutions des equations du second ordre dans le cas de la non-os dilation, Com. Acad. R. P. Romîne 9 (1959), 1121–1128. (Romanian) Google Scholar

[8] 8. Haie, J. K. and Onuchic, N., On the asymptotic behavior of solutions of a class of d.e.s., Contributions to Differential Equations 2 (1963), 61–75 Google Scholar

[9] 9. Hartman, P., Principal solutions of disconjugate nth order linear differential equations, Amer. J. Math. 91 (1969), 306–362. Google Scholar

[10] 10. Katz, I. N., Asymptotic behavior of solutions to some nth order linear differential equations, Proc. Amer. Math. Soc. 21 (1969), 657–662. Google Scholar

[11] 11. Locke, P., On the asymptotic behavior of an nth order nonlinear equation, Proc. Amer. Math. Soc. 18 (1967), 383–390. Google Scholar

[12] 12. Morse, M. and Leighton, W., Singular quadratic functional, Trans. Amer. Math. Soc. 40 (1936), 252–286. Google Scholar

[13] 13. Pólya, G., On the mean-value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc. 24 (1922), 312–324. Google Scholar

[14] 14. Ráb, M., Asymptotische Eigenschaften der Lösungen der Differentialgleichung y” + A(x)y = 0, Czech. Math. J. 83 (1958), 513–519. Google Scholar

[15] 15. Sherman, T., Properties of solutions of nth order linear differential equations, Pacific J. Math. IS (1965), 1045–1060. Google Scholar

[16] 16. Sherman, T., On solutions of nth order linear differential equations with n zeros, Bull. Amer. Math. Soc. 74 (1968), 923–925. Google Scholar

[17] 17. Trench, W. F., On the asymptotic behavior of solutions to second-order linear differential equations, Proc. Amer. Math. Soc. 14 (1963), 12–14. Google Scholar

[18] 18. Waltman, P., On the asymptotic behavior of solutions of an nth order equation, Monatsh. Math. 69 (1965), 427–430. Google Scholar

[19] 19. Waltman, P., Qn the asymptotic behavior of a nonlinear equation, Proc. Amer. Math. Soc. 15 (1964), 918–923. Google Scholar

[20] 20. Zlámal, M., Asymptotische Eigenschaften der Lösungen linearer Differentialgleichungen, Math. Nachr. 10 (1953), 169–174. Google Scholar

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