On the ratio f t + c f - α t / f t .

Philip Hartman

Bollettino dell'Unione Matematica Italiana (1959)

  • Volume: 14, Issue: 1, page 57-61
  • ISSN: 0392-4041

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Hartman, Philip. "On the ratio $f(t + cf^{-\alpha }\,(t))/f(t)$.." Bollettino dell'Unione Matematica Italiana 14.1 (1959): 57-61. <http://eudml.org/doc/194686>.

@article{Hartman1959,
author = {Hartman, Philip},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {ordinary differential equations},
language = {eng},
month = {3},
number = {1},
pages = {57-61},
publisher = {Zanichelli},
title = {On the ratio $f(t + cf^\{-\alpha \}\,(t))/f(t)$.},
url = {http://eudml.org/doc/194686},
volume = {14},
year = {1959},
}

TY - JOUR
AU - Hartman, Philip
TI - On the ratio $f(t + cf^{-\alpha }\,(t))/f(t)$.
JO - Bollettino dell'Unione Matematica Italiana
DA - 1959/3//
PB - Zanichelli
VL - 14
IS - 1
SP - 57
EP - 61
LA - eng
KW - ordinary differential equations
UR - http://eudml.org/doc/194686
ER -

References

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  1. BIERNACKI, M., Sur l'équation différentielle x"+A(t)x = 0, «Prace Matematyczno Fizyczne», vol. 40 (1933), pp. 163-171. Zbl0006.20001
  2. HARTMAN, P., Unrestricted solution fields of almost separable differential equations, «Transactions of the American Mathematical Society». vol. 63 (1948), pp. 560-580. Zbl0031.39801MR25052
  3. HARTMAN, P., The number of L2-solutions of x'' + q(t)x = 0, «American Journal of Mathematics», vol. 73 (1951), pp. 635-645. Zbl0044.31202MR44695
  4. HARTMAN, P., On the eigenvalues of differential equations, ibid., pp. 657-662. Zbl0044.31203MR44703
  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. Zbl0035.18203
  6. HARTMAN, P. and WINTNER, A., On the asymptotic problems of the zeros in wave mechanics, ibid., pp. 461-480. Zbl0037.19101
  7. SANSONE, G., Equazioni differenziali nel campo reale, vol. 2, Bologna (1949). Zbl0039.30901JFM67.0306.01
  8. WIMAN, A., Ueber die reellen Lösungen der linearen Differentialgleichungen zweiter Ordnung, «Arkiv för Matematik. Astronomi und Fysik», vol. 12 (1917), No. 14. JFM46.0666.04

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