On the stability of solutions of certain systems of differential equations with piecewise constant argument

Said R. Grace; Mustafa R. S. Kulenović; Hamdy El-Metwally

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 3, page 449-461
  • ISSN: 0011-4642

Abstract

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We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.

How to cite

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Grace, Said R., Kulenović, Mustafa R. S., and El-Metwally, Hamdy. "On the stability of solutions of certain systems of differential equations with piecewise constant argument." Czechoslovak Mathematical Journal 52.3 (2002): 449-461. <http://eudml.org/doc/30715>.

@article{Grace2002,
abstract = {We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.},
author = {Grace, Said R., Kulenović, Mustafa R. S., El-Metwally, Hamdy},
journal = {Czechoslovak Mathematical Journal},
keywords = {asymptotic behavior; delay; stability; asymptotic behavior; delay; stability},
language = {eng},
number = {3},
pages = {449-461},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the stability of solutions of certain systems of differential equations with piecewise constant argument},
url = {http://eudml.org/doc/30715},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Grace, Said R.
AU - Kulenović, Mustafa R. S.
AU - El-Metwally, Hamdy
TI - On the stability of solutions of certain systems of differential equations with piecewise constant argument
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 3
SP - 449
EP - 461
AB - We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.
LA - eng
KW - asymptotic behavior; delay; stability; asymptotic behavior; delay; stability
UR - http://eudml.org/doc/30715
ER -

References

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  1. 10.1080/00036818608839642, Appl. Anal. 23 (1986), 219–231. (1986) MR0870489DOI10.1080/00036818608839642
  2. 10.1080/00036818808839717, Appl. Anal. 26 (1988), 327–333. (1988) MR0922978DOI10.1080/00036818808839717
  3. Models of vertically transmitted diseases with sequential-continuous dynamics, In: Nonlinear Phenomena in Mathematical Science, V. Lakshmikantham (ed.), Academic Press, New York, 1982, pp. 179–187. (1982) 
  4. 10.1016/0022-247X(84)90248-8, J. Math. Anal. Appl. 99 (1984), 265–297. (1984) MR0732717DOI10.1016/0022-247X(84)90248-8
  5. 10.1090/S0002-9939-1987-0877047-8, Proc. Amer. Math. Soc. 99 (1987), 726–732. (1987) MR0877047DOI10.1090/S0002-9939-1987-0877047-8
  6. Linear Difference Equations, Benjamin, New York, 1968. (1968) Zbl0162.40201MR0227644
  7. Advanced differential equations with piecewise constant argument deviations, Internat. J. Math. Sci. 6 (1983), 671–703. (1983) MR0729389
  8. 10.1016/0022-247X(88)90246-6, J. Math. Anal. Appl. 129 (1988), 243–255. (1988) MR0921390DOI10.1016/0022-247X(88)90246-6
  9. 10.1016/0022-247X(89)90286-2, J. Math. Anal. Appl. 137 (1989), 221–239. (1989) MR0981935DOI10.1016/0022-247X(89)90286-2

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