| Title:
|
Comparison theorems for functional differential equations (English) |
| Author:
|
Džurina, Jozef |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
119 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
203-211 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation $L_nu(t)+p(t)f(u[g(t)])=0$ are compared with those of the functional differential equation $\alpha_nu(t)+q(t)h(u[w(t)])=0$. (English) |
| Keyword:
|
functional differential equation |
| Keyword:
|
oscillatory |
| Keyword:
|
nonoscillatory |
| Keyword:
|
canonical form |
| Keyword:
|
property (A) |
| MSC:
|
34C10 |
| MSC:
|
34K15 |
| MSC:
|
34K25 |
| MSC:
|
34K99 |
| idZBL:
|
Zbl 0810.34064 |
| idMR:
|
MR1293250 |
| DOI:
|
10.21136/MB.1994.126077 |
| . |
| Date available:
|
2009-09-24T21:04:48Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126077 |
| . |
| Reference:
|
[1] J. Džurinа: Oscillation and asymptotic properties of n-th order differential equations.Czech. Math. J. 42 (1992), 11-14. MR 1152163 |
| Reference:
|
[2] J. Džurinа: Comparison theorems for nonlinear ODEs.Math. Slovaca 42 (1992), 299-315. MR 1182960 |
| Reference:
|
[3] L. Erbe: Oscillation criteria foг second order nonlinear delay equations.Canad. Math. Bull. 16 (1973), 49-56. MR 0324173, 10.4153/CMB-1973-011-1 |
| Reference:
|
[4] L. Erbe: Oscillation and asymptotic behavior of solutions of third order differential delay equations.SIAM Ј. Math. Anal. 7 (1976), 491-500. Zbl 0356.34086, MR 0433001, 10.1137/0507040 |
| Reference:
|
[5] E. Hille: Non-oscillation theorems.Trans. Amer. Math. Soc. 64 (1948), 234-258. Zbl 0031.35402, MR 0027925, 10.1090/S0002-9947-1948-0027925-7 |
| Reference:
|
[6] I. T. Kigurаdze: On the oscillation of solutions of the equation $d^m u/ dt^m + a(t)|u|^n \times sign u = 0$.Mat. Sb. 65 (1964), 172-187. (In Russian.) |
| Reference:
|
[7] T. Kusаno аnd M. Nаito: Comparison theorems for functional differential equations with deviating arguments.Ј. Math. Soc. Јapan 3 (1981), 509-532. MR 0620288 |
| Reference:
|
[8] T. Kusаno аnd M. Nаito: Oscillation criteria for general linear ordinary differential equations.Pacific Ј. Math. 92 (1981), 345-355. MR 0618070, 10.2140/pjm.1981.92.345 |
| Reference:
|
[9] W. E. Mаhfoud: Comparison theorems for delay differential equations.Pacifìc Ј. Math. 83 (1979), 187-197. MR 0555047, 10.2140/pjm.1979.83.187 |
| Reference:
|
[10] 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, 10.1090/S0002-9947-1974-0330632-X |
| Reference:
|
[11] W. F. Trench: Oscillation properties of perturbed disconjugate equations.Proc. Amer. Math. Soc. 52 (1975), 147-155. Zbl 0321.34027, MR 0379987, 10.1090/S0002-9939-1975-0379987-7 |
| . |
