On the ratio f⁢t+c⁢f-α⁢t/f⁢t.
Hartman, Philip
Bollettino dell'Unione Matematica Italiana, Tome 14 (1959), p. 57-61 / Harvested from Biblioteca Digitale Italiana di Matematica
Access to full text
Full (PDF)
Full (DjVu)
Publié le : 1959-03-01
@article{BUMI_1959_3_14_1_57_0,
     author = {Philip Hartman},
     title = {On the ratio $f(t + cf^{-\alpha }\,(t))/f(t)$.},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {14},
     year = {1959},
     pages = {57-61},
     zbl = {0086.07001},
     mrnumber = {104858},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1959_3_14_1_57_0}
}

Hartman, Philip. On the ratio $f(t + cf^{-\alpha }\,(t))/f(t)$.. Bollettino dell'Unione Matematica Italiana, Tome 14 (1959) pp. 57-61. http://gdmltest.u-ga.fr/item/BUMI_1959_3_14_1_57_0/

[1] Biernacki, M., Sur l'équation différentielle x"+A(t)x = 0, «Prace Matematyczno Fizyczne», vol. 40 (1933), pp. 163-171. | Zbl 0006.20001

[2] Hartman, P., Unrestricted solution fields of almost separable differential equations, «Transactions of the American Mathematical Society». vol. 63 (1948), pp. 560-580. | MR 25052 | Zbl 0031.39801

[3] Hartman, P., The number of L2-solutions of x'' + q(t)x = 0, «American Journal of Mathematics», vol. 73 (1951), pp. 635-645. | MR 44695 | Zbl 0044.31202

[4] Hartman, P., On the eigenvalues of differential equations, ibid., pp. 657-662. | MR 44703 | Zbl 0044.31203

[5] Hartman, P. and Wintner, A., The asymptotic arcus variation of solutions of real linear, differential equations of second order, ibid., vol. 70 (1948), pp. 1-10. | Zbl 0035.18203

[6] Hartman, P. and Wintner, A., On the asymptotic problems of the zeros in wave mechanics, ibid., pp. 461-480. | Zbl 0037.19101

[7] Sansone, G., Equazioni differenziali nel campo reale, vol. 2, Bologna (1949). | JFM 67.0306.01 | Zbl 0039.30901

[8] Wiman, A., Ueber die reellen Lösungen der linearen Differentialgleichungen zweiter Ordnung, «Arkiv för Matematik. Astronomi und Fysik», vol. 12 (1917), No. 14. | JFM 46.0666.04