Title:
|
Necessary and sufficient conditions for finally vanishing oscillatory solutions in second order delay equations (English) |
Author:
|
Singh, Bhagat |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
25 |
Issue:
|
2 |
Year:
|
1989 |
Pages:
|
137-148 |
. |
Category:
|
math |
. |
MSC:
|
34C10 |
MSC:
|
34K25 |
MSC:
|
34K99 |
idZBL:
|
Zbl 0702.34061 |
idMR:
|
MR1188059 |
. |
Date available:
|
2008-06-06T06:20:22Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107351 |
. |
Reference:
|
[1] N. P. Bhatia (1966): Some oscillation theorems for second order differential equations.J. Math. Anal. Appl. 15, 442-446. MR 0203164 |
Reference:
|
[2] J. S. Bradley (1970): Oscillation theorems for a second order delay equation.J. Differential Equations, 8, 397-403. MR 0268482 |
Reference:
|
[3] J. R. Graef (1977): Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order.J. Math. Anal. Appl. 60, 398-409. MR 0454249 |
Reference:
|
[4] J. R. Graef, P. W. Spikes (1977): Asymptotic properties of functional differential equations of arbitrary order.J. Math. Anal. Appl. 60, 339-348. MR 0454248 |
Reference:
|
[5] M. E. Hammett (1971): Nonoscillation properties of a nonlinear differential equation.Pгoc. Amer. Math. Soc. 30, 92-96. MR 0279384 |
Reference:
|
[6] S. O. Londen (1973): Some nonoscillation theorems for a second order nonlinear differential equation.SIAM J. Math. Anal., 4, 460-465. MR 0333342 |
Reference:
|
[7] B. Singh (1973): Oscitlation and nonoscillation of even order nonlinear delay-differential equations.Qualt. Appl. Math., 31, 343-349. MR 0435557 |
Reference:
|
[8] B. Singh (1975): Asymptotic nature of nonoscillatory solutions of nth order retarded differential equations.SIAM J. Math. Anal. Appl. 6, 784-795. MR 0430474 |
Reference:
|
[9] B. Singh (1976): Asymptotically vanishing oscillatory trajectories in second order retarded equations.SIAM J. Math. Anal. 7, 37-44. MR 0425308 |
Reference:
|
[10] B. Singh (1976): General functional differential equations and their asymptotic oscillatory behavior.Yokohama Math. J. 24, 125-132. MR 0425309 |
Reference:
|
[11] B. Singh (1975): Impact of delays on oscillation in general functional equations.Hiroshima Math.J. 5, 351-361. MR 0422822 |
Reference:
|
[12] B. Singћ (1976): Forced nonoscillations in fourth order functional equations.Funkcial. Ekvac. 19, 227-237. MR 0435558 |
Reference:
|
[13] C. C. Travis (1972): Oscillation theorems for second order differential equations.Pгoc. Amer. Math. Soc. 31, 199-201. MR 0285789 |
Reference:
|
[14] T. Wallgren (1976): Oscillation of solutions of the differential equation y" + p(x)y = f(x).SIAM J. Math. Anal. 7, 848-857. MR 0427747 |
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