On the oscillation properties of first-order impulsive differential equations with a deviating argument

On the oscillation properties of first-order impulsive differential equations with a deviating argument

For first order linear impulsive differential equations with a deviating argument a number of oscillation theorems are proved (of the type of the Sturmian Theorem). Various criteria for oscillation or non-oscillation of the solutions of these equations are found. The oscillatory properties of some c...

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Veröffentlicht in:Israel journal of mathematics 1997-12, Vol.98 (1), p.167-187
Hauptverfasser: Bainov, D., Domshlak, Yu. I., Simeonov, P. S.
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Differential equations
Mathematical analysis
Mathematics
Theorems
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container_title Israel journal of mathematics
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creator Bainov, D.
Domshlak, Yu. I.
Simeonov, P. S.
description For first order linear impulsive differential equations with a deviating argument a number of oscillation theorems are proved (of the type of the Sturmian Theorem). Various criteria for oscillation or non-oscillation of the solutions of these equations are found. The oscillatory properties of some concrete equations of the type considered are investigated.
doi_str_mv 10.1007/BF02937333
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ispartof Israel journal of mathematics, 1997-12, Vol.98 (1), p.167-187
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1565-8511
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subjects Differential equations
Mathematical analysis
Mathematics
Theorems
title On the oscillation properties of first-order impulsive differential equations with a deviating argument
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