Comparison theorems for differential equations with deviating argument

Jozef Džurina

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 1, page 79-89
  • ISSN: 0232-0525

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Džurina, Jozef. "Comparison theorems for differential equations with deviating argument." Mathematica Slovaca 45.1 (1995): 79-89. <http://eudml.org/doc/31523>.

@article{Džurina1995,
author = {Džurina, Jozef},
journal = {Mathematica Slovaca},
keywords = {oscillation; delay functional differential equations},
language = {eng},
number = {1},
pages = {79-89},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Comparison theorems for differential equations with deviating argument},
url = {http://eudml.org/doc/31523},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Džurina, Jozef
TI - Comparison theorems for differential equations with deviating argument
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 1
SP - 79
EP - 89
LA - eng
KW - oscillation; delay functional differential equations
UR - http://eudml.org/doc/31523
ER -

References

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  1. DŽURINA J., Comparison theorems for nonlinear ODE's, Math. Slovaca 42 (1992), 299-315. (1992) Zbl0760.34030MR1182960
  2. HILLE E., Non-oscillation theorems, Trans. Amer. Math. Soc. 64 (1948), 234-258. (1948) Zbl0031.35402MR0027925
  3. HARTMAN P., WINTNER A., Linear differential and difference equations with monotone solutions, Amer. J. Math. 75 (1953), 731-743. (1953) Zbl0051.07105MR0057404
  4. KIGURADZE I. T., On the oscillation of solutions of the equation d m u / d t m + a ( t ) | u | n sgn u = 0 , (Russian), Mat. Sb. 65 (1964), 172-187. (1964) Zbl0135.14302MR0173060
  5. LOVELADY D. L., An asymptotic analysis of an odd order linear differential equation, Pacific J. Math. 57 (1975), 475-480. (1975) Zbl0305.34054MR0379985
  6. KITAMURA Y., KUSANO T., Nonlinear oscillation of higher-order functional differential equations with deviating arguments, J. Math. Anal. Appl. 77 (1980), 100-119. (1980) Zbl0465.34044MR0591264
  7. KUSANO T., NAITO M., Oscillation criteria for general linear ordinary differential equations, Pacific J. Math. 92 (1981), 345-355. (1981) Zbl0475.34019MR0618070
  8. KUSANO T., NAITO M., Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 (1981), 509-532. (1981) Zbl0494.34049MR0620288
  9. KUSANO T., NAITO M., TANAKA K., Oscillatory and asymptotic behavior of solutions of a class of linear ordinary differential equations, Proc. Roy Soc. Edinburgh Sect. A 90 (1981), 25-40. (1981) MR0636062
  10. TANAKA K., Asymptotic analysis of odd order ordinary differential equations, Hiroshima Math. J. 10 (1980), 391-408. (1980) Zbl0453.34033MR0577867
  11. TRENCH W. F., Canonicals form and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189 (1974), 319-327. (1974) MR0330632
  12. TRENCH W. F., Oscillation properties of perturbed disconjugate equations, Proc. Amer. Math. Soc. 52 (1975), 147-155. (1975) Zbl0321.34027MR0379987

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