| Title:
|
Comparison theorems for differential equations of neutral type (English) |
| Author:
|
Růžičková, Miroslava |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
181-189 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We are interested in comparing the oscillatory and asymptotic properties of the equations $L_n [x(t)-P(t) x(g(t))]+\delta f(t,x(h(t)))=0$ with those of the equations $M_n [x(t)-P(t) x(g(t))]+\delta Q(t)q(x(r(t)))=0.$ (English) |
| Keyword:
|
neutral differential equations |
| Keyword:
|
oscillatory solutions |
| Keyword:
|
property $\Cal A$ |
| Keyword:
|
property $\Cal B$ |
| Keyword:
|
quasi-derivatives |
| MSC:
|
34K15 |
| MSC:
|
34K25 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 0897.34066 |
| idMR:
|
MR1460948 |
| DOI:
|
10.21136/MB.1997.125913 |
| . |
| Date available:
|
2009-09-24T21:24:53Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125913 |
| . |
| Reference:
|
[1] J. Džurina: Comparison theorems for functional differential equations.Math. Nachr. 164 (1993), 13-22. MR 1251452, 10.1002/mana.19931640103 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[6] G. Ladas, Y. G. Sficas: Oscillations of higher-order neutral equations.J. Austral. Math. Soc. Ser. B (1986), 502-511. Zbl 0566.34055, MR 0836222, 10.1017/S0334270000005105 |
| Reference:
|
[7] W. E. Mahfoud: Characterization of oscillation of solutions of the delay equation $x^n (t) + a(t) f(x[q(t)]) = 0$.J. Differential Equations 28 (1978), 437-451. MR 0499605, 10.1016/0022-0396(78)90138-9 |
| Reference:
|
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| Reference:
|
[9] M. Růžičková, E. Špániková: On oscillation of functional differential equations of neutral type with the quasi-derivatives.Studies of Univ. of Transp. and Com. 10 (1995), 55-63. MR 1437836 |
| Reference:
|
[10] A. Zafer, R. S. Dahiya: Oscillation of bounded solutions of neutral differential equations.Appl. Math. Lett. 6 (1993), no. 2, 43-46. Zbl 0776.34058, MR 1347773, 10.1016/0893-9659(93)90010-K |
| Reference:
|
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| . |
