Some stability and boundedness results for the solutions of certain fourth order differential equations
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2005)
- Volume: 44, Issue: 1, page 161-171
- ISSN: 0231-9721
Access Full Article
top
Abstract
topHow to cite
topTunç, Cemil. "Some stability and boundedness results for the solutions of certain fourth order differential equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 44.1 (2005): 161-171. <http://eudml.org/doc/32453>.
@article{Tunç2005,
abstract = {Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with $p\equiv 0$ and the boundedness of all solutions of the equation (1.1) with $p\ne 0$. Our result includes and improves several results in the literature ([4], [5], [8]).},
author = {Tunç, Cemil},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {differential equations of fourth order; boundedness; stability; Lyapunov functions; differential equations of fourth order; Lyapunov functions; boundedness},
language = {eng},
number = {1},
pages = {161-171},
publisher = {Palacký University Olomouc},
title = {Some stability and boundedness results for the solutions of certain fourth order differential equations},
url = {http://eudml.org/doc/32453},
volume = {44},
year = {2005},
}
TY - JOUR
AU - Tunç, Cemil
TI - Some stability and boundedness results for the solutions of certain fourth order differential equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2005
PB - Palacký University Olomouc
VL - 44
IS - 1
SP - 161
EP - 171
AB - Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with $p\equiv 0$ and the boundedness of all solutions of the equation (1.1) with $p\ne 0$. Our result includes and improves several results in the literature ([4], [5], [8]).
LA - eng
KW - differential equations of fourth order; boundedness; stability; Lyapunov functions; differential equations of fourth order; Lyapunov functions; boundedness
UR - http://eudml.org/doc/32453
ER -
References
top- Barbashin E. A.: Liapunov’s Function., Science, , 1970. (1970)
- Chukwu E. N., On the boundedness of a certain fourth-order differential equation, J. London Math. Soc. (2) 11, 3 (1975), 313–324. (1975) MR0390396
- Ezeilo J. O. C., Tejumola H. O., On the boundedness and the stability properties of solutions of certain fourth order differential equation, Ann. Mat. Pure. Apl. (IV) 95 (1973), 131–145. (1973) MR0425275
- Hu C. Y., The stability in the large for certain fourth order differential equations, Ann. Differential Equations 8, 4 (1992), 422–428. (1992) Zbl0776.34040MR1215987
- Ponzo P. J., On the stability of certain nonlinear differential equations, IEEE Trans. Automatic Control 10 (1965), 470–472. (1965) MR0188554
- Reissig R., Sansone G., Conti R.: Nonlinear Differential Equations of Higher Order., Noordhoff, Groningen, , 1974. (1974)
- Tunç C., A note on the stability and boundedness results of solutions of certain fourth order differential equations, Appl. Math. Comp. 155, 3 (2004), 837–843. MR2078694
- Wu X., Xiong K., Remarks on stability results for the solutions of certain fourth-order autonomous differential equations, Internat. J. Control. 69, 2 (1998), 353–360. (1998) Zbl0934.34039MR1684744
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.