On the stability of the solutions of certain fifth order non-autonomous differential equations

A. I. Sadek

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 1, page 93-106
  • ISSN: 0044-8753

Abstract

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Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) tend to zero as t → ∞ .

How to cite

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Sadek, A. I.. "On the stability of the solutions of certain fifth order non-autonomous differential equations." Archivum Mathematicum 041.1 (2005): 93-106. <http://eudml.org/doc/249492>.

@article{Sadek2005,
abstract = {Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) tend to zero as $t \rightarrow \infty $.},
author = {Sadek, A. I.},
journal = {Archivum Mathematicum},
keywords = {asymptotic stability; Lyapunov function; nonautonomous differential equations of fifth order; asymptotic stability; Lyapunov function},
language = {eng},
number = {1},
pages = {93-106},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the stability of the solutions of certain fifth order non-autonomous differential equations},
url = {http://eudml.org/doc/249492},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Sadek, A. I.
TI - On the stability of the solutions of certain fifth order non-autonomous differential equations
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 1
SP - 93
EP - 106
AB - Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) tend to zero as $t \rightarrow \infty $.
LA - eng
KW - asymptotic stability; Lyapunov function; nonautonomous differential equations of fifth order; asymptotic stability; Lyapunov function
UR - http://eudml.org/doc/249492
ER -

References

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  1. On complete stability of the solutions of non-linear differential equations of the fifth-order, Proc. of Assiut First Intern. Conf. Part V (1990), 14–25. 
  2. On the asymptotic behaviour of solutions of certain non-autonomous differential equations, J. Math. Anal. Appl. 237 (1999), 360–375. MR1708179
  3. On the boundedness and stability of some differential equations of the fifth-order, Siam J. Math. Anal. 7(2) (1976), 176–194. MR0425274
  4. On the stability of solutions of certain third order ordinary differential equation, Proc. Japan Acad. 47 (1971), 897–902. MR0313598
  5. On the boundedness and the stability of solutions of some differential equations of the third order, J. London Math. Soc. 44 (1969), 347–359. MR0236482
  6. On the boundedness and the stability properties for the solutions of certain fifth order differential equations, Hacet. Bull. Nat. Sci. Eng. Ser. B, 25 (1996), 53–68. MR1465133
  7. On the boundedness and the stability results for the solutions of certain fifth order differential equations, Istambul. Univ. Fen Fak. Mat. Derg. 54 (1997), 151–160. MR1608171
  8. On the stability of solutions of some non-autonomous differential equation of the third order, Proc. Japan Acad. 47 (1971), 909–914. MR0313603
  9. Stability theorem by Liapunov second method, The Mathematical Society of Japan, Tokyo (1966). MR0208086

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