Comparison theorems for differential equations with deviating argument

Jozef Džurina

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 1, page 79-89
  • ISSN: 0139-9918

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.