Oscillations of delay differential equations with variable coefficients
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DOI:
https://doi.org/10.26637/MJM0802/0028Abstract
The purpose of this paper is to obtain a sharp sufficient condition for the oscillation of the delay differential equation
$$
y^{\prime}(x)+q(x) y(x-\tau)=0, \quad x \geq x_0,
$$
where \(q(x) \in C\left(\left[x_0, \infty\right), R^{+}\right)\) which improves previously known results.
Keywords:
Delay differential equation, Oscillatory propertyMathematics Subject Classification:
Mathematics- Pages: 489-493
- Date Published: 01-04-2020
- Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)
G. Ladas, Sharp conditions for oscillations caused by delay, Appl. Anal., 9(1979), 93-98.
R. G. Koplatadze and T. A. Chanturia, On the oscillatory and monotone solutions of the first order differential equations with deviating arguments, Differentsial'nyeUravneniya, 18(1982), 1463-1465.
M. K. Grammatikopoulos, E. A. Grove, and G. Ladas, Oscillations of first-order neutral delay differential equations, J. Math. Anal. Appl., 120(1986), 510-520.
Q. Chuanxi and G. Ladas, Oscillations of neutral differential equations with variable coefficients, Appl. Anal., $32(1989), 215-228$.
${ }^{[5]}$ G. Ladas and C. Qian, Oscillation in differential equations with positive and negative coefficients, Canad. Math. Bull., 33(1990), 442-451.
I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon, Oxford, 1991.
Bingtuan Li, Oscillations of delay differential equations with variable coefficients, J. Math. Anal. Appl., 192(1995), 312-321.
G. S. Ladde, V. Lakshmikantham, and B. G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.
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