Comparison theorems and necessary/sufficient conditions for the existence of nonoscillatory solutions of forced impulsive differential equations with delay

In 1997, A. H. Nasr provided necessary and sufficient conditions for the oscillation of the equation where η > 0, p, and g are continuous functions on [0,∞) such that p(t) ≥ 0, g(t) ≤ t, g′(t) ≥ α > 0, and lim t→∞ g(t) =∞. It is important to note that the condition g′(t) ≥ α > 0 is require...

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Datum:2012
Hauptverfasser: Shao Yuan Huang, Sui Sun Cheng
Format: Artikel
Sprache:English
Veröffentlicht: Український математичний журнал 2012
Schriftenreihe:Український математичний журнал
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Comparison theorems and necessary/sufficient conditions for the existence of nonoscillatory solutions of forced impulsive differential equations with delay / Shao Yuan Huang, Sui Sun Cheng // Український математичний журнал. — 2012. — Т. 64, № 9. — С. 1233-1248. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine