Title:
|
Comparison theorems for differential equations with deviating argument (English) |
Author:
|
Džurina, Jozef |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
45 |
Issue:
|
1 |
Year:
|
1995 |
Pages:
|
79-89 |
. |
Category:
|
math |
. |
MSC:
|
34C10 |
MSC:
|
34K11 |
idZBL:
|
Zbl 0830.34059 |
idMR:
|
MR1335843 |
. |
Date available:
|
2009-09-25T11:04:38Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128593 |
. |
Reference:
|
[1] DŽURINA J.: Comparison theorems for nonlinear ODE's.Math. Slovaca 42 (1992), 299-315. Zbl 0760.34030, MR 1182960 |
Reference:
|
[2] HILLE E.: Non-oscillation theorems.Trans. Amer. Math. Soc. 64 (1948), 234-258. Zbl 0031.35402, MR 0027925 |
Reference:
|
[3] HARTMAN P., WINTNER A.: Linear differential and difference equations with monotone solutions.Amer. J. Math. 75 (1953), 731-743. Zbl 0051.07105, MR 0057404 |
Reference:
|
[4] 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:
|
[5] LOVELADY D. L.: An asymptotic analysis of an odd order linear differential equation.Pacific J. Math. 57 (1975), 475-480. Zbl 0305.34054, MR 0379985 |
Reference:
|
[6] KITAMURA Y., KUSANO T.: 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:
|
[7] KUSANO T., NAITO M.: Oscillation criteria for general linear ordinary differential equations.Pacific J. Math. 92 (1981), 345-355. Zbl 0475.34019, MR 0618070 |
Reference:
|
[8] KUSANO T., NAITO M.: Comparison theorems for functional differential equations with deviating arguments.J. Math. Soc. Japan 3 (1981), 509-532. Zbl 0494.34049, MR 0620288 |
Reference:
|
[9] KUSANO T., NAITO M., TANAKA K.: Oscillatory and asymptotic behavior of solutions of a class of linear ordinary differential equations.Proc. Roy Soc. Edinburgh Sect. A 90 (1981), 25-40. MR 0636062 |
Reference:
|
[10] TANAKA K.: Asymptotic analysis of odd order ordinary differential equations.Hiroshima Math. J. 10 (1980), 391-408. Zbl 0453.34033, MR 0577867 |
Reference:
|
[11] TRENCH W. F.: Canonicals form and principal systems for general disconjugate equations.Trans. Amer. Math. Soc. 189 (1974), 319-327. MR 0330632 |
Reference:
|
[12] TRENCH W. F.: Oscillation properties of perturbed disconjugate equations.Proc. Amer. Math. Soc. 52 (1975), 147-155. Zbl 0321.34027, MR 0379987 |
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