| Title:
|
Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments (English) |
| Author:
|
Philos, Christos G. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
15 |
| Issue:
|
1 |
| Year:
|
1979 |
| Pages:
|
19-36 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| MSC:
|
34K99 |
| idZBL:
|
Zbl 0435.34059 |
| idMR:
|
MR562108 |
| . |
| Date available:
|
2008-06-06T06:05:53Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107021 |
| . |
| Reference:
|
[1] M. K. Grammatikopoulos Y. G. Sficas, V. A. Staikos: Oscillatory properties of strongly superlinear differential equations with deviating arguments.J. Math. Anal. Appl. 67 (1979), 171-187. MR 0524471 |
| Reference:
|
[2] A. G. Kartsatos: Oscillation properties of solutions of even order differential equations.Bull. Fac. Sci., Ibaraki Univ., Math., 2 (1969), 9-14. Zbl 0225.34021, MR 0254327 |
| Reference:
|
[3] I. T. Kiguradze: On the oscillation of solutions of the equation $\frac{d^m u}{dt^m}+ a(t) u^n \sgn u = 0$.(Russian), Mat. Sb. 65 (1964), 172-187. MR 0173060 |
| Reference:
|
[4] I. T. Kiguradze: The problem of oscillation of solutions of nonlinear differential equations.(Russian), Differenciaľnye Uravnenija 1 (1965), 995-1006. Zbl 0155.41802, MR 0194689 |
| Reference:
|
[5] T. Kusano, H. Onose: Asymptotic behavior of nonoscillatory solutions of functional equations of arbitrary order.J. London Math. Soc. 14 (1976), 106-112. MR 0422818 |
| Reference:
|
[6] T. Kusano, H. Onose: Nonoscillation theorems for differential equations with deviating argument.Pacific J. Math. 63 (1976), 185-192. Zbl 0342.34058, MR 0417536 |
| Reference:
|
[7] D. L. Lovelady: Oscillation and even order linear differential equations.Rocky Mountain J. Math. 6 (1976), 299-304. Zbl 0335.34019, MR 0390370 |
| Reference:
|
[8] Ch. G. Philos: Oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments.Hiroshima Math. J. 8 (1978), 31-48. Zbl 0378.34055, MR 0481368 |
| Reference:
|
[9] Ch. G. Philos: An oscillatory and asymptotic classification of the solutions of differential equations with deviating arguments.Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur., 63 (1977), 195-203. MR 0526121 |
| Reference:
|
[10] Ch. G. Philos: Oscillatory and asymptotic behavior of all solutions of differential equations with deviating arguments.Proc. Roy. Soc. Edinburgh Sect. A 81 (1978), 195-210. MR 0516413 |
| Reference:
|
[11] Ch. G. Philos: On the oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments.Ann. Mat. Pura Appl., in press. Zbl 0414.34075 |
| Reference:
|
[12] Ch. G. Philos Y. G. Sficas, V. A. Staikos: Some results on the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments.to appear. MR 0652407 |
| Reference:
|
[13] Ch. G. Philos, V. A. Staikos: Non-slow oscillations with damping.University of Ioannina, Technical Report No 92, March 1977. |
| Reference:
|
[14] Ch. G. Philos, V. A. Staikos: Quick oscillations with damping.Math. Nachr., to appear. Zbl 0439.34057, MR 0563581 |
| Reference:
|
[15] Y. G. Sficas: Retarded actions on oscillations.Bull. Soc. Math. Grèce 17 (1976), 1-10. Zbl 0383.34024, MR 0492733 |
| Reference:
|
[16] Y. G. Sficas: The effect of the delay on the oscillatory and asymptotic behavior of n-th order retarded differential equations.J. Math. Anal. Appl. 49 (1975), 748-757. Zbl 0299.34100, MR 0364818 |
| Reference:
|
[17] Y. G. Sficas, I. P. Stavroulakis: On the oscillatory and asymptotic behavior of a class of differential equations with debating arguments.SIAM J. Math. Anal., 9 (1978), 956-966. MR 0508836 |
| Reference:
|
[18] V. A. Staikos, Ch. G. Philos: On the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments.Hiroshima Math. J. 7 (1977), 9-31. Zbl 0354.34076, MR 0435559 |
| Reference:
|
[19] V. A. Staikos, Ch. G. Philos: Asymptotic properties of nonoscillatory solutions of differential equations with deviating argument.Pacific J. Math., 70 (1977), 221-242. Zbl 0377.34038, MR 0466876 |
| Reference:
|
[20] V. A. Staikos, Ch. G. Philos: Nonoscillatory phenomena and damped oscillations.Nonlinear Analysis, Theory, Methods and Applications, 2 (1977), 197-210. MR 0512283 |
| Reference:
|
[21] I. P. Stavroulakis: Differential Equations with Deviating Arguments-Contribution to the study of oscillatory and asymptotic properties of the solutions.(Greek), Ph. D. Thesis, University of Ioannina, 1976. |
| . |
