Conditions for the absence of positive solutions of a first order differential inequality with a single delay

Erwin Kozakiewicz

Archivum Mathematicum (1995)

  • Volume: 031, Issue: 4, page 291-297
  • ISSN: 0044-8753

Abstract

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A sufficient integral condition for the absence of eventually positive solutions of a first order stable type differential inequality with one nondecreasing retarded argument is given. In the special case of equality the result becomes an oscillation criterion.

How to cite

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Kozakiewicz, Erwin. "Conditions for the absence of positive solutions of a first order differential inequality with a single delay." Archivum Mathematicum 031.4 (1995): 291-297. <http://eudml.org/doc/247692>.

@article{Kozakiewicz1995,
abstract = {A sufficient integral condition for the absence of eventually positive solutions of a first order stable type differential inequality with one nondecreasing retarded argument is given. In the special case of equality the result becomes an oscillation criterion.},
author = {Kozakiewicz, Erwin},
journal = {Archivum Mathematicum},
keywords = {delay; differential inequality; oscillation; positive solutions; differential inequality with one nondecreasing retarded argument; oscillation criterion},
language = {eng},
number = {4},
pages = {291-297},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Conditions for the absence of positive solutions of a first order differential inequality with a single delay},
url = {http://eudml.org/doc/247692},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Kozakiewicz, Erwin
TI - Conditions for the absence of positive solutions of a first order differential inequality with a single delay
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 4
SP - 291
EP - 297
AB - A sufficient integral condition for the absence of eventually positive solutions of a first order stable type differential inequality with one nondecreasing retarded argument is given. In the special case of equality the result becomes an oscillation criterion.
LA - eng
KW - delay; differential inequality; oscillation; positive solutions; differential inequality with one nondecreasing retarded argument; oscillation criterion
UR - http://eudml.org/doc/247692
ER -

References

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  1. Ladde G.S., Lakshmikantham V., Zhang B.G., Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987. (1987) Zbl0832.34071MR1017244
  2. Kozakiewicz E., Oscillations for First Order Neutral Differential Equations, ZAMM 73 (1993), T813-T815. (1993) Zbl0815.34062MR1237876
  3. Kozakiewicz E., Conditions for the absence of positive solutions of first order differential inequalities with deviating arguments, 4th. Int. Coll. on Differential Equations, pp. 157-161, D. Bainov and V. Covachev (eds.), VSP 1994. (1994) Zbl0843.34071MR1458394
  4. Elbert Á., Stavroulakis I.P., Oscillation and Non-oscillation Criteria for Delay Differential Equations, Proc. Amer. Math. Soc., 123 (1995), 1503-1510, or University of Ioannina, Greece, Technical Report No. 228, July 1993. (1995) MR1242082

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