Voir la notice de l'article provenant de la source Cambridge University Press
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
@article{10_4153_CJM_1971_030_4,
author = {Willett, D.},
title = {Asymptotic {Behaviour} of {Disconjugate} nth {Order} {Differential} {Equations}},
journal = {Canadian journal of mathematics},
pages = {293--314},
year = {1971},
volume = {23},
number = {2},
doi = {10.4153/CJM-1971-030-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1971-030-4/}
}
TY - JOUR AU - Willett, D. TI - Asymptotic Behaviour of Disconjugate nth Order Differential Equations JO - Canadian journal of mathematics PY - 1971 SP - 293 EP - 314 VL - 23 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1971-030-4/ DO - 10.4153/CJM-1971-030-4 ID - 10_4153_CJM_1971_030_4 ER -
[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
Cité par Sources :