Sufficient conditions for oscillations of all solutions of a class of impulsive differential equations with deviating argument.
Bainov, D.D., Dimitrova, M.B. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Bainov, D.D., Dimitrova, M.B. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Bainov, D.D., Dimitrova, Margarita B., Dishliev, Angel B. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Pavol Marušiak (1997)
Czechoslovak Mathematical Journal
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Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini (2011)
Open Mathematics
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Globally positive solutions for the third order differential equation with the damping term and delay, are studied in the case where the corresponding second order differential equation is oscillatory. Necessary and sufficient conditions for all nonoscillatory solutions of (*) to be unbounded are given. Furthermore, oscillation criteria ensuring that any solution is either oscillatory or unbounded together with its first and second derivatives are presented. The comparison of results...
Marko Švec (1992)
Czechoslovak Mathematical Journal
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Mouffak Benchohra, Abdelghani Ouahab (2005)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we discuss the existence of oscillatory and nonoscillatory solutions of first order impulsive differential inclusions. We shall rely on a fixed point theorem of Bohnenblust-Karlin combined with lower and upper solutions method.