A comparison theorem for linear delay differential equations

Jozef Džurina

Archivum Mathematicum (1995)

  • Volume: 031, Issue: 2, page 113-120
  • ISSN: 0044-8753

Abstract

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In this paper property (A) of the linear delay differential equation L n u ( t ) + p ( t ) u ( τ ( t ) ) = 0 , is to deduce from the oscillation of a set of the first order delay differential equations.

How to cite

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Džurina, Jozef. "A comparison theorem for linear delay differential equations." Archivum Mathematicum 031.2 (1995): 113-120. <http://eudml.org/doc/247672>.

@article{Džurina1995,
abstract = {In this paper property (A) of the linear delay differential equation \[ L\_nu(t)+p(t)u(\tau (t))= 0, \] is to deduce from the oscillation of a set of the first order delay differential equations.},
author = {Džurina, Jozef},
journal = {Archivum Mathematicum},
keywords = {Comparison theorem; property (A).; delay differential equation; property (A); oscillation},
language = {eng},
number = {2},
pages = {113-120},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A comparison theorem for linear delay differential equations},
url = {http://eudml.org/doc/247672},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Džurina, Jozef
TI - A comparison theorem for linear delay differential equations
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 2
SP - 113
EP - 120
AB - In this paper property (A) of the linear delay differential equation \[ L_nu(t)+p(t)u(\tau (t))= 0, \] is to deduce from the oscillation of a set of the first order delay differential equations.
LA - eng
KW - Comparison theorem; property (A).; delay differential equation; property (A); oscillation
UR - http://eudml.org/doc/247672
ER -

References

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  1. On the oscillatory and monotone solutions of the first order differential equations with deviating argument, Dif. Uravnenija 18 (1982), 1463–1465. (Russian) (1982) MR0671174
  2. Comparison theorems for ODEs, Math. Slovaca 42 (1992), 299–315. (1992) MR1182960
  3. Oscillation theory of delay differential equations, Clarendon press, Oxford, 1991. (1991) MR1168471
  4. On the oscillation of solutions of the equation d m u / d t m + a ( t ) | u | n s i g n u = 0 , Mat. Sb 65 (1964), 172–187. (Russian) (1964) Zbl0135.14302MR0173060
  5. Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 (1981), 509–532. (1981) MR0620288
  6. Oscillation theory of differential equations with deviating arguments, Dekker, New York, 1987. (1987) MR1017244
  7. Oscillations of differential equation with retarded argument, Math. Slovaca 38 (1985), 295–303. (1985) MR0808365

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