| Title:
|
Lyapunov-type inequality for higher-order differential equations (English) |
| Author:
|
Parhi, N. |
| Author:
|
Panigrahi, S. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
31-46 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1019.34039 |
| idMR:
|
MR1901012 |
| . |
| Date available:
|
2009-09-25T14:05:41Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129859 |
| . |
| Reference:
|
[1] DAHIYA R. S., SINGH B.: A Liapunov inequality and nonoscillation theorem for a second order nonlinear differential-difference equation.J. Math. Phys. Sci. 7 (1973), 163-170. MR 0350151 |
| Reference:
|
[2] ELIASON S. B.: A Liapunov inequality for a certain second order nonlinear differential equation.J. London Math. Soc. 2 (1970), 461-466. MR 0267191 |
| Reference:
|
[3] ELIASON S. B.: Liapunov type inequalities for certain second order functional differential equations.SIAM J. Appl. Mat. 27 (1974), 180-199. MR 0350152 |
| Reference:
|
[4] ELIASON S. B. : Distance between zeros of certain differential equations having delayed arguments.Ann. Mat. Pura Appl. 106 (1975), 273-291. Zbl 0316.34081, MR 0412558 |
| Reference:
|
[5] HARTMAN P.: Ordinary Differential Equations.Wiley, New York, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[6] LIAPUNOV A. M.: Probleme general de la stabilitie du mouvement.Ann. of Math. Stud. 17, Princeton Univ. Press, Princeton, NJ, 1949. |
| Reference:
|
[7] PACHPATTE B. G.: On Liapunov-type inequalities for certain higher order differential equations.J. Math. Anal. Appl. 195 (1995), 527-536. MR 1354560 |
| Reference:
|
[8] PARHI N., PANIGRAHI S.: On Liapunov-type inequality for third-order differential equations.J. Math. Anal. Appl. 233 (1999), 445-460. MR 1689641 |
| Reference:
|
[9] PARHI N., PANIGRAHI S.: On Liapunov-type inequality for delay-differential equations of third order.Czechoslovak Math. J. (To appear). MR 1905446 |
| Reference:
|
[10] PATULA W. T.: On the distance between zeros.Proc. Amer. Math. Soc. 52 (1975 , 247-251. MR 0379986 |
| . |
