The asymptotic properties of the solutions of the n -th order neutral differential equations

Dáša Lacková

Archivum Mathematicum (2003)

  • Volume: 039, Issue: 3, page 179-185
  • ISSN: 0044-8753

Abstract

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The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the n - th order neutral differential equation ( x ( t ) - p x ( t - τ ) ) ( n ) - q ( t ) x ( σ ( t ) ) = 0 , where σ ( t ) is a delayed or advanced argument.

How to cite

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Lacková, Dáša. "The asymptotic properties of the solutions of the $n$-th order neutral differential equations." Archivum Mathematicum 039.3 (2003): 179-185. <http://eudml.org/doc/249118>.

@article{Lacková2003,
abstract = {The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the $n-$th order neutral differential equation \[ (x(t)-px(t-\tau ))^\{(n)\}-q(t)x(\sigma (t))=0\,, \] where $\sigma (t)$ is a delayed or advanced argument.},
author = {Lacková, Dáša},
journal = {Archivum Mathematicum},
keywords = {neutral differential equation; delayed argument; advanced argument; delayed argument; advanced argument},
language = {eng},
number = {3},
pages = {179-185},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The asymptotic properties of the solutions of the $n$-th order neutral differential equations},
url = {http://eudml.org/doc/249118},
volume = {039},
year = {2003},
}

TY - JOUR
AU - Lacková, Dáša
TI - The asymptotic properties of the solutions of the $n$-th order neutral differential equations
JO - Archivum Mathematicum
PY - 2003
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 039
IS - 3
SP - 179
EP - 185
AB - The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the $n-$th order neutral differential equation \[ (x(t)-px(t-\tau ))^{(n)}-q(t)x(\sigma (t))=0\,, \] where $\sigma (t)$ is a delayed or advanced argument.
LA - eng
KW - neutral differential equation; delayed argument; advanced argument; delayed argument; advanced argument
UR - http://eudml.org/doc/249118
ER -

References

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  1. Comparison theorems for functional differential equations with deviating argument, J. Math. Soc. Japan 33 (1981), . (1981) MR0620288
  2. On even functional differential equations with advanced and retarded arguments, Differential Equations 45 (1985), 75–84. (1985) MR0662487
  3. Oscillation criteria for second order neutral differential equations, Math. Bohem. 2 (2000), 145–153. (2000) MR1768803
  4. Oscillations of advanced differential equations, Fasc. Math. 25 (1995), 95–103. (1995) MR1339630
  5. 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). (Russian) (1964) Zbl0135.14302MR0173060
  6. A note of unstable neutral differential equations of the second order, Fasc. Math. 29 (1999), 17–22. (1999) MR1724462

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