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MR ZblKeywords: property (A) of ODE's; oscillatory behavior; solutions; ordinary differential equations; quasiderivatives; binomial equation; delay-differential equation; differential inequalities; nonoscillatory solutions
Džurina, Jozef. Property (A) of $n$-th order ODE's. Mathematica Bohemica, Tome 122 (1997) no. 4, pp. 349-356. doi: 10.21136/MB.1997.126218
@article{10_21136_MB_1997_126218,
author = {D\v{z}urina, Jozef},
title = {Property {(A)} of $n$-th order {ODE's}},
journal = {Mathematica Bohemica},
pages = {349--356},
year = {1997},
volume = {122},
number = {4},
doi = {10.21136/MB.1997.126218},
mrnumber = {1489395},
zbl = {0903.34031},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.126218/}
}
[1] T. A. Chanturia, I. T. Kiguradze: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations. Nauka, Moscow, 1990. (In Russian.)
[2] J. Džurina: Comparison theorems for functional differential equations. Math. Nachrichten 164 (1993), 13-22. | DOI | MR
[3] K. E. Foster, R. C. Grimmer: Nonoscillatory solutions of higher order differential equations. J. Math. Anal. Appl. 71 (1979), 1-17. | DOI | MR | Zbl
[4] P. Hartman, A. Wintner: Linear differential and difference equations with monotone solutions. Amer. J. Math. 75 (1953), 731-743. | DOI | MR | Zbl
[5] T. Kusano, M. Naito: Comparison theorems for functional differential equations with deviating arguments. J. Math. Soc. Japan 3 (1981), 509-532. | DOI | MR | Zbl
[6] T. Kusano M. Naito, K. Tanaka: Oscillatory and asymptotic behavior of solutions of a class of linear ordinary differential equations. Proc. Roy. Soc. Edinburg. 90 (1981), 25-40. | MR
[7] T. Kusano, M. Naito: Oscillation criteria for general ordinary differential equations. Pacific J. Math. 92 (1981), 345-355. | DOI | MR
[8] D. Knežo, V. Šoltés: Existence and properties of nonoscillation solutions of third order differential equations. Fasciculi Math. 25 (1995), 63-74. | MR
[9] Š. Kulcsár: Boundedness convergence and global stability of solution of a nonlinear differential equations of the second order. Publ. Math. 37 (1990), 193-201. | MR
[10] G. S. Ladde V. Lakshmikantham B. G. Zhang: Oscillation Theory of Differential Equations with Deviating Arguments. Dekker, New York, 1987. | MR
[11] D. L. Lovelady: An asymptotic analysis of an odd order linear differential equation. Pacific J. Math. 57 (1975), 475-480. | DOI | MR | Zbl
[12] D. L. Lovelady: Oscillation of a class of odd order linear differential equations. Hiroshima Math. J. 5 (1975), 371-383. | DOI | MR
[13] W. E. Mahfoud: Comparison theorems for delay differential equations. Pacific J. Math. 83 (1979), 187-197. | DOI | MR | Zbl
[14] 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. | DOI | MR
[15] M. Naito: On strong oscillation of retarded differential equations. Hiroshima Math. J. vol 11 (1981), 553-560. | DOI | MR | Zbl
[16] Ch. G. Philos, Y. G. Sficas: Oscillatory and asymptotic behavior of second and third order retarded differential equations. Czechoslovak Math. J. 32 (1982), 169-182. | MR | Zbl
[17] M. Růžičková, E. Špániková: Oscillation theorems for neutral differential equations with the quasi-derivatives. Arch. Math. 30 (1994), 293-300. | MR
[18] W. F. Trench: Oscillation properties of perturbed disconjugate equations. Proc. Amer. Math. Soc. 52 (1975), 147-155. | DOI | MR | Zbl
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