Kneser Oscillation Theorem for differential equations with piecewise constant argument
Abstract
In the paper oscillatory properties of solutions of a second order differential equation with piecewise constant argument are studied. In particular, a version of Kneser Oscillation Theorem for such equation is proved.
References
1. A.R. Aftabizadeh, J. Woener, Oscillatory properties of first order linear functional differential equations, Applicable Anal. 20 (1985), 165-187.
2. A.R. Aftabizadeh, J. Wiener, Xu. Jian-Ming, Oscillatory and periodic properties of delay differential equations with piecewise constant argument, Proc. Amer. Math. Soc. 99 (1987), 673-679.
3. K.L. Cooke, J. Wiener, Retarded differential equations with piecewise constant delays, J. Math. Anal. Appl. 99 (1984), 265-297.
4. J. Wiener, Differential equations with piecewise constant delays, in: Trends in the Theory and Practice of Nonlinear Differential Equations, V. Lakshmikantham (editor), Marcel Dekker, New York, (1983), 547-552.
5. B.G. Zhang, N. Parhi, Oscillatory and nonoscillatory properties of first order differential equations with piecewise constant deviating arguments, International Center for Theoretical Physics, 1986, Miramare-Trieste.
2. A.R. Aftabizadeh, J. Wiener, Xu. Jian-Ming, Oscillatory and periodic properties of delay differential equations with piecewise constant argument, Proc. Amer. Math. Soc. 99 (1987), 673-679.
3. K.L. Cooke, J. Wiener, Retarded differential equations with piecewise constant delays, J. Math. Anal. Appl. 99 (1984), 265-297.
4. J. Wiener, Differential equations with piecewise constant delays, in: Trends in the Theory and Practice of Nonlinear Differential Equations, V. Lakshmikantham (editor), Marcel Dekker, New York, (1983), 547-552.
5. B.G. Zhang, N. Parhi, Oscillatory and nonoscillatory properties of first order differential equations with piecewise constant deviating arguments, International Center for Theoretical Physics, 1986, Miramare-Trieste.
KlaczakJ. (1991). Kneser Oscillation Theorem for differential equations with piecewise constant argument. Annales Mathematicae Silesianae, 5, 51-56. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14281
Jerzy Klaczak
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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