Oscillations of linear integro-differential equations

Rudolf Olach; Helena Šamajová

Open Mathematics (2005)

  • Volume: 3, Issue: 1, page 98-104
  • ISSN: 2391-5455

Abstract

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Sufficient conditions which guarantee that certain linear integro-differential equation cannot have a positive solution are established.

How to cite

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Rudolf Olach, and Helena Šamajová. "Oscillations of linear integro-differential equations." Open Mathematics 3.1 (2005): 98-104. <http://eudml.org/doc/268891>.

@article{RudolfOlach2005,
abstract = {Sufficient conditions which guarantee that certain linear integro-differential equation cannot have a positive solution are established.},
author = {Rudolf Olach, Helena Šamajová},
journal = {Open Mathematics},
keywords = {34K15; 34C10},
language = {eng},
number = {1},
pages = {98-104},
title = {Oscillations of linear integro-differential equations},
url = {http://eudml.org/doc/268891},
volume = {3},
year = {2005},
}

TY - JOUR
AU - Rudolf Olach
AU - Helena Šamajová
TI - Oscillations of linear integro-differential equations
JO - Open Mathematics
PY - 2005
VL - 3
IS - 1
SP - 98
EP - 104
AB - Sufficient conditions which guarantee that certain linear integro-differential equation cannot have a positive solution are established.
LA - eng
KW - 34K15; 34C10
UR - http://eudml.org/doc/268891
ER -

References

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  1. [1] L. Berezansky, E. Braverman: “On oscillation of equations with distributed delay”, Z. Anal. Anwendungen, Vol. 20, (2001), pp. 489–504. Zbl0995.34059
  2. [2] W.K. Ergen: “Kinetics of the circulating fuel nuclear reactor”,Journal of Applied Physics, Vol.25, (1954), pp.702–711. http://dx.doi.org/10.1063/1.1721720 Zbl0055.23003
  3. [3] I. Györi, G. Ladas: Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991. 
  4. [4] G. Ladas, CH.G. Philos, Y.G. Sficas: “Oscillations of integro-differential equations”, Differential and Integral Equations, Vol. 4, (1991), pp. 1113–1120. Zbl0742.45003
  5. [5] G.S. Ladde, V. Lakshmikantham, B.G. Zhang: Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York and Basel, 1987. Zbl0832.34071
  6. [6] R. Olach: “Observation of a Feedback Mechanism in a Population Model”, Nonlinear Analysis, Vol. 41, (2000), pp. 539–544. http://dx.doi.org/10.1016/S0362-546X(98)00295-8 Zbl0952.34054
  7. [7] X.H. Tang: “Oscillation of first order delay differential equations with distributed delay”, J. Math. Anal. Appl., Vol. 289, (2004), pp. 367–378. http://dx.doi.org/10.1016/j.jmaa.2003.08.008 Zbl1055.34129

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