On the oscillation of some impulsive parabolic equations with several delays

R. Atmania; S. Mazouzi

Archivum Mathematicum (2011)

  • Volume: 047, Issue: 3, page 217-228
  • ISSN: 0044-8753

Abstract

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In this paper, several oscillation criteria are established for some nonlinear impulsive functional parabolic equations with several delays subject to boundary conditions. We shall mainly use the divergence theorem and some corresponding impulsive delayed differential inequalities.

How to cite

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Atmania, R., and Mazouzi, S.. "On the oscillation of some impulsive parabolic equations with several delays." Archivum Mathematicum 047.3 (2011): 217-228. <http://eudml.org/doc/246152>.

@article{Atmania2011,
abstract = {In this paper, several oscillation criteria are established for some nonlinear impulsive functional parabolic equations with several delays subject to boundary conditions. We shall mainly use the divergence theorem and some corresponding impulsive delayed differential inequalities.},
author = {Atmania, R., Mazouzi, S.},
journal = {Archivum Mathematicum},
keywords = {impulsive condition; delayed parabolic equation; oscillation; divergence theorem; impulsive differential inequality; impulsive condition; delayed parabolic equation; oscillation; divergence theorem; impulsive differential inequality},
language = {eng},
number = {3},
pages = {217-228},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the oscillation of some impulsive parabolic equations with several delays},
url = {http://eudml.org/doc/246152},
volume = {047},
year = {2011},
}

TY - JOUR
AU - Atmania, R.
AU - Mazouzi, S.
TI - On the oscillation of some impulsive parabolic equations with several delays
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 3
SP - 217
EP - 228
AB - In this paper, several oscillation criteria are established for some nonlinear impulsive functional parabolic equations with several delays subject to boundary conditions. We shall mainly use the divergence theorem and some corresponding impulsive delayed differential inequalities.
LA - eng
KW - impulsive condition; delayed parabolic equation; oscillation; divergence theorem; impulsive differential inequality; impulsive condition; delayed parabolic equation; oscillation; divergence theorem; impulsive differential inequality
UR - http://eudml.org/doc/246152
ER -

References

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  1. Bainov, D., Minchev, E., Trends in theory of impulsive partial differential equations, Nonlinear World 3 (3) (1996), 357–384. (1996) MR1411360
  2. Bainov, D., Minchev, E., Forced oscillations of solutions of impulsive nonlinear parabolic differential-difference equations, J. Korean Math. Soc. 35 (4) (1998), 881–890. (1998) Zbl0922.35183MR1666462
  3. Cui, B., Deng, F. Q., Li, W. N., Liu, Y. Q., Oscillation problems for delay parabolic systems with impulses, Dyn. Contin. Discrete Impuls Syst. Ser. A Math. Anal. 12 (2005), 67–76. (2005) MR2099905
  4. Fu, X., Liu, X., Oscillation criteria for impulsive hyperbolic systems, Dynam. Contin. Discrete Impuls. Systems 3 (2) (1997), 225–244. (1997) Zbl0927.34008MR1448781
  5. Fu, X., Liu, X., Sivaloganathan, S., 10.1006/jmaa.2001.7840, J. Math. Anal. Appl. 268 (2002), 647–664. (2002) Zbl1160.35429MR1896220DOI10.1006/jmaa.2001.7840
  6. Liu, A., Xiao, L., Liu, T., Oscillation of nonlinear impulsive hyperbolic equations with several delays, Electron. J. Differential Equations 2004 (24) (2004), 1–6. (2004) Zbl1060.35153MR2036208

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