Asymptotic analysis of n -th order differential equations

Jozef Džurina

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 3, page 283-289
  • ISSN: 0232-0525

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Džurina, Jozef. "Asymptotic analysis of $n$-th order differential equations." Mathematica Slovaca 47.3 (1997): 283-289. <http://eudml.org/doc/32393>.

@article{Džurina1997,
author = {Džurina, Jozef},
journal = {Mathematica Slovaca},
keywords = {linear differential equation; oscillatory solution; property degree of function; property (A)},
language = {eng},
number = {3},
pages = {283-289},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Asymptotic analysis of $n$-th order differential equations},
url = {http://eudml.org/doc/32393},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Džurina, Jozef
TI - Asymptotic analysis of $n$-th order differential equations
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 3
SP - 283
EP - 289
LA - eng
KW - linear differential equation; oscillatory solution; property degree of function; property (A)
UR - http://eudml.org/doc/32393
ER -

References

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  1. CANTURIJA T. A., Some comparison theorems for higher order ordinary differential equations, Bull. Acad. Polon. Sci. Séг. Sci. Tech. 25 (1977), 745-756. (1977) MR0477269
  2. ČANTURIJA T. A.-KIGURADZE I. T., Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations, Nauka, Moscow, 1990. (Russian) (1990) 
  3. DŽURINA J., Comparison theorems for nonlinear ODE, Math. Slovaca 42 (1992), 299-315. (1992) Zbl0760.34030MR1182960
  4. ELIAS U., Generalizations of an inequality of Kiguradze, J. Math. Anal. Appl. 97 (1983), 277-290. (1983) Zbl0546.34010MR0721243
  5. FOSTER K. E.-GRIMMER R. C., Nonoscillatory solutions of higher order differential equations, J. Math. Anal. Appl. 71 (1979), 1-17. (1979) Zbl0428.34029MR0545858
  6. HARTMAN P.-WINTNER A., Linear differential and difference equations with monotone solutions, Amer. J. Math. 75 (1953), 731-743. (1953) Zbl0051.07105MR0057404
  7. KUSANO T.-NAITO M., Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 (1981), 509-532. (1981) Zbl0494.34049MR0620288
  8. TANAKA K., Asymptotic analysis of odd order ordinary differential equations, Hiroshima Math. J. 10 (1980), 391-408. (1980) Zbl0453.34033MR0577867

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