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.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Mathematical analysis
Mathematics
Theorems
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Beschreibung
Zusammenfassung: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.
ISSN:0021-2172
1565-8511
DOI:10.1007/BF02937333