| Title:
|
Forced oscillations in functional differential equations with deviating arguments (English) |
| Author:
|
Singh, Bhagat |
| Author:
|
Kusano, Takaŝi |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
19 |
| Issue:
|
1 |
| Year:
|
1983 |
| Pages:
|
9-17 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K99 |
| idZBL:
|
Zbl 0532.34046 |
| idMR:
|
MR724305 |
| . |
| Date available:
|
2008-06-06T06:11:43Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107152 |
| . |
| Reference:
|
[1] J. R. Graef M. K. Grammatikopoulos, P. W Spikes: Growth and oscillatory behavior of solutions of a differential equation with a deviating argument.to appear. MR 0621534 |
| Reference:
|
[2] J. R. Graef, T. Kusano: Oscillation and nonoscillation criteria for a class of forced differential equations with deviating arguments.in preparation. Zbl 0562.34057 |
| Reference:
|
[3] A. Granata: Canonical factorizations of disconjugate differential operators.SIAM J. Math. Anal. 11 (1980), 160-172. Zbl 0431.34008, MR 0556506 |
| Reference:
|
[4] Y. Kitamura, T. Kusano: Nonlinear oscillation of higher order functional differential equations with deviating arguments.J. Math. Anal. Appl. 77 (1980), 100-119. Zbl 0465.34044, MR 0591264 |
| Reference:
|
[5] T. Kusano, H. Onose: Oscillations of functional differential equations with retarded argument.J. Differential Equations 15 (1974), 269-277. Zbl 0292.34078, MR 0333398 |
| Reference:
|
[6] M. Naito: Existence and asymptotic behavior of positive solutions of differential inequalities with deviating argument.Funkcial. Ekvac. 22 (1979), 127-142. Zbl 0437.34060, MR 0556574 |
| Reference:
|
[7] H. Onose: Oscillation and asymptotic behavior of solutions of retarded differential equations of arbitrary order.Hiroshima Math. J. 3 (1973), 333-360. Zbl 0299.34098, MR 0348231 |
| Reference:
|
[8] V. N. Ševelo, N. V. Vareh: On the oscillation of solutions of the equation $[r(t) y^{(n-1)} (t )]' + p(t) f(y(\tau (t))) = 0$.Ukrain. Mat. Ž. 25 (1973), 724-731. (Russian). MR 0326110 |
| Reference:
|
[9] V. N. Ševelo: Oscillation of Solutions of Differential Equations with Deviating Arguments.Naukova Dumka, Kiev, 1978. (Russian). MR 0492732 |
| Reference:
|
[10] B. Singh: A necessary and sufficient condition for the oscillation of an even order nonlinear delay differential equation.Canad. J. Math. 25 (1973), 1078-1089. Zbl 0273.34047, MR 0330706 |
| Reference:
|
[11] B. Singh: Impact of delays on oscillations in general functional equations.Hiroshima Math. J. 5 (1975), 351-361. MR 0422822 |
| Reference:
|
[12] W. F. Trench: Canonical forms and principal systems for general disconjugate equations.Trans. Amer. Math. Soc. 189 (1974), 319-327. Zbl 0289.34051, MR 0330632 |
| . |
