# Asymptotic behaviour of solutions of linear differential equations with delay

Annales Polonici Mathematici (1993)

- Volume: 58, Issue: 2, page 131-137
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topJosef Diblík. "Asymptotic behaviour of solutions of linear differential equations with delay." Annales Polonici Mathematici 58.2 (1993): 131-137. <http://eudml.org/doc/262494>.

@article{JosefDiblík1993,

abstract = {Inequalities for some positive solutions of the linear differential equation with delay ẋ(t) = -c(t)x(t-τ) are obtained. A connection with an auxiliary functional nondifferential equation is used.},

author = {Josef Diblík},

journal = {Annales Polonici Mathematici},

keywords = {linear differential equation with delay; asymptotic behaviour; inequalities; positive solutions; delay functional differential equation; growth},

language = {eng},

number = {2},

pages = {131-137},

title = {Asymptotic behaviour of solutions of linear differential equations with delay},

url = {http://eudml.org/doc/262494},

volume = {58},

year = {1993},

}

TY - JOUR

AU - Josef Diblík

TI - Asymptotic behaviour of solutions of linear differential equations with delay

JO - Annales Polonici Mathematici

PY - 1993

VL - 58

IS - 2

SP - 131

EP - 137

AB - Inequalities for some positive solutions of the linear differential equation with delay ẋ(t) = -c(t)x(t-τ) are obtained. A connection with an auxiliary functional nondifferential equation is used.

LA - eng

KW - linear differential equation with delay; asymptotic behaviour; inequalities; positive solutions; delay functional differential equation; growth

UR - http://eudml.org/doc/262494

ER -

## References

top- [1] R. Bellman and K. L. Cooke, Differential-Difference Equations, Academic Press, New York 1963. Zbl0105.06402
- [2] J. Diblík, On existence and asymptotic behaviour of solutions of singular Cauchy problem for certain system of ordinary differential equations, Fasc. Math. 18 (1988), 51-62. Zbl0664.34007
- [3] J. Hale, Theory of Functional Differential Equations, Springer, New York 1977. Zbl0352.34001
- [4] Ph. Hartman, Ordinary Differential Equations, Wiley, New York 1964.
- [5] V. B. Kolmanovskij and V. R. Nosov, Stability of Functional Differential Equations, Academic Press, 1986. Zbl0593.34070
- [6] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Vol. 2, Academic Press, 1969. Zbl0177.12403
- [7] K. P. Rybakowski, Ważewski's principle for retarded functional differential equations, J. Differential Equations 36 (1980), 117-138. Zbl0407.34056
- [8] K. P. Rybakowski, A topological principle for retarded functional differential equations of Carathéodory type, ibid. 39 (1981), 131-150. Zbl0477.34048
- [9] T. Ważewski, Sur un principe topologique de l'examen de l'allure asymptotique des intégrales des équations différentielles ordinaires, Ann. Soc. Polon. Math. 20 (1947), 279-313. Zbl0032.35001

## Citations in EuDML Documents

top## NotesEmbed ?

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