Previous |  Up |  Next

Article

References:
[1] F. V. Atkinson: Asymptotic formulae for linear oscillations. Proceedings Glasgow Math. Association 3 (1957), 105-111. DOI 10.1017/S2040618500033542 | MR 0118886 | Zbl 0085.07004
[2] R. Bellman: Boundedness of the solutions of second order linear differential equations. Duke Math. J. 22 (1955), 511-513. MR 0075376 | Zbl 0066.33403
[3] 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. DOI 10.2307/1986402 | MR 1500523
[4] V. Doležal: Asymptotické vzorce pro řeseni diferenciálni rovnice y" + f(t) y = 0. Časopis pro pěst. mat. 83 (1958), 4, 451-465. MR 0101943
[5] P. Hartman: Differential equations with non-oscillatory solutions. Duke Math. J. 15 (1948), 697-709. DOI 10.1215/S0012-7094-48-01559-2 | MR 0027927
[6] P. Hartman A. Wintner: Asymptotic integrations of linear differential equations. Amer. J. Math. 77 (1955), 45-86. DOI 10.2307/2372422 | MR 0066520
[7] P. Hartman A. Wintner: On the assignment of asymptotic values for the solutions of linear differential equations of second order. Amer. J. Math. 77 (1955), 475-483. DOI 10.2307/2372635 | MR 0070798
[8] P. Hartman A. Wintner: Oscillatory and non-oscillatory linear differential equations. Amer. J. Math. 71 (1949), 627-649. DOI 10.2307/2372355 | MR 0031158
[9] E. Hille: Non oscillation theorems. Trans. Amer. Math. Soc. 64 (1948), 234-252. DOI 10.1090/S0002-9947-1948-0027925-7 | MR 0027925 | Zbl 0031.35402
[10] Л. Д. Николенко: Об одном достаточном условии неколебательности решений уравнения у" + A(х) у = 0. Докл. Акад. наук СССР 110 (1956), 6, 929-931.
[11] M. Ráb: Asymptotische Eigenschaften der Lösungen der Differentialgleichung y" + A(x) y = 0. Чех. мат. журнал 8 (83) (1958), 513-519. MR 0103313
[12] M. Ráb: Poznámka k otázce o oscilačních vlastnostech řešení diferenciálni rovnice y" + A(x) y = 0. Časopis pro pěst. mat. 82 (1957), 342-348.
[13] A. Wintner: Asymptotic integrations of the adiabatic oscillator in its hyperbolic range. Duke Math. J. 15 (1948), 55-67. MR 0024537 | Zbl 0034.35501
[14] A. Wintner: On the normalization of characteristic differentials in continuous spectra. Physical Review. 72 (1947), 516-517. DOI 10.1103/PhysRev.72.516 | MR 0022004 | Zbl 0029.29303
[15] M. Zlámal: Über asymptotische Eigenschaften der Lösungen der linearen Differentialgleichung zweiter Ordnung. Чех. мат. журнал 6 (81), 1956, 75-93. MR 0080215
[16] A. Halanay: Comportarea asimptoticä a soluţiilor ecuaţiitor de ordinul al doilea de tip neoscilator. Comunicärile Acad. Rep. pop. Romîne 9 (1959), 11, 1121-1128.
Partner of
EuDML logo