Title:
|
Oscillation theorems of comparison type of delay differential equations with a nonlinear damping term (English) |
Author:
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Grace, Said R. |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
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44 |
Issue:
|
3 |
Year:
|
1994 |
Pages:
|
303-314 |
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Category:
|
math |
. |
MSC:
|
34C10 |
MSC:
|
34K99 |
idZBL:
|
Zbl 0815.34061 |
idMR:
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MR1307320 |
. |
Date available:
|
2009-09-25T10:57:05Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128947 |
. |
Reference:
|
[1] GRACE S. R.: Oscillation criteria for forced functional differential equations with deviating arguments.J. Math. Anal. Appl. 145 (1990), 63-88. Zbl 0724.34074, MR 1031176 |
Reference:
|
[2] GRACE S. R.: On the oscillatory and asymptotic behaviour of even order nonlinear differential equations with retarded arguments.J. Math. Anal. Appl. 137 (1989). 528-540. MR 0984975 |
Reference:
|
[3] GRACE S. R.: Comparison theorems for forced functional differential equations.J. Math. Anal. Appl. 144 (1989), 168-182. Zbl 0683.34040, MR 1022569 |
Reference:
|
[4] GRACE S. R., LALLI B. S.: An oscillation criterion for certain second order strongly sublinear differential equations.J. Math. Anal. Appl. 123 (1987), 584-586. Zbl 0641.34031, MR 0883711 |
Reference:
|
[5] GRACE S. R., LALLI B. S.: Oscillatory and asymptotic behaviour of solutions of differential equations with deviating arguments.J. Math. Anal. Appl. 104 (1984). 79-91. MR 0765041 |
Reference:
|
[6] KIGURADZE I. T.: On the oscillation of solutions of the equation $d^m u/dt^m +a(t)|u|^n \sgn u = 0$.(Russian), Mat. Sb. 65 (1964), 172-187. Zbl 0135.14302, MR 0173060 |
Reference:
|
[7] KITAMURA Y.: Oscillation of functional differential equations with general deviating arguments.Hiroshima Math. J. 15 (1985), 445-491. Zbl 0599.34091, MR 0813572 |
Reference:
|
[8] KUSANO T., NAITO M.: Comparison theorems for functional differential equations with deviating arguments.J. Math. Soc. Japan. 33 (1981), 509-532. Zbl 0494.34049, MR 0620288 |
Reference:
|
[9] LADAS G., STAVROULAKIS I. P.: Oscillations caused by several retarded and advanced arguments.3. Differential Equations 44 (1982), 134-152. Zbl 0452.34058, MR 0651691 |
Reference:
|
[10] LALLI B. S., GRACE S. R.: Some oscillation criteria for delay differential equations of even order.3. Math. Anal. Appl. 119 (1986), 164-170. Zbl 0608.34067, MR 0856665 |
Reference:
|
[11] PHILOS, CH. G.: On the existence of nonoscillatory solutions tending to zero at ∞ for differential equations with positive delays.Arch. Math. (Basel) 36 (1981). 168-178. MR 0619435 |
Reference:
|
[12] WONG J. S. W., BURTON T. A: Some properties of $u'' +a(t)f(u)g(u') = 0.$.Monatsh. Math. 69 (1965), 364-374. MR 0186885 |
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