A note on the oscillation of solutions of the equation u ' ' + a ( t ) | u | n sgn u = 0

Ivan Kiguradze

Časopis pro pěstování matematiky (1967)

  • Volume: 092, Issue: 3, page 343-350
  • ISSN: 0528-2195

How to cite

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Kiguradze, Ivan. "Заметка о колеблемости решений уравнения $u^{\prime \prime }+a(t) \vert u\vert ^n \text{sgn}u = 0$." Časopis pro pěstování matematiky 092.3 (1967): 343-350. <http://eudml.org/doc/19225>.

@article{Kiguradze1967,
author = {Kiguradze, Ivan},
journal = {Časopis pro pěstování matematiky},
keywords = {ordinary differential equations},
language = {rus},
number = {3},
pages = {343-350},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Заметка о колеблемости решений уравнения $u^\{\prime \prime \}+a(t) \vert u\vert ^n \text\{sgn\}u = 0$},
url = {http://eudml.org/doc/19225},
volume = {092},
year = {1967},
}

TY - JOUR
AU - Kiguradze, Ivan
TI - Заметка о колеблемости решений уравнения $u^{\prime \prime }+a(t) \vert u\vert ^n \text{sgn}u = 0$
JO - Časopis pro pěstování matematiky
PY - 1967
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 092
IS - 3
SP - 343
EP - 350
LA - rus
KW - ordinary differential equations
UR - http://eudml.org/doc/19225
ER -

References

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  1. F. V. Atkinson, On second-order non-linear oscillations, Pacif. J. Math 5 (1955), 643-647. (1955) Zbl0065.32001MR0072316
  2. Р. Waltman, An oscillation criterion for a nonlinear second order equation, J. Math. Analysis and Applic. 10 (1965), 2, 439-441. (1965) Zbl0131.08902MR0173050
  3. И. Т. Кигурадзе, О колеблемости решений уравнения d m u / d t m + а ( t ) | u | n sgn u = 0 , Матем. сборник. 65 (1964), 2. 172-187. (1964) Zbl0276.20059MR0173060
  4. И. Т. Кигурадзе, Асимптотические свойства решений одного нелинейного дифференциального уравнения типа Эмдена-Фаулера, Изв. АН СССР, серия математическая, 29 (1965), 5, 965-986. (1965) Zbl1099.01519MR0190459

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