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

Archivum Mathematicum (2005)

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

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topSadek, 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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- On the stability of solutions of certain third order ordinary differential equation, Proc. Japan Acad. 47 (1971), 897–902. MR0313598
- 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
- 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
- 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
- On the stability of solutions of some non-autonomous differential equation of the third order, Proc. Japan Acad. 47 (1971), 909–914. MR0313603
- Stability theorem by Liapunov second method, The Mathematical Society of Japan, Tokyo (1966). MR0208086

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