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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Bibliographic Details
Date:2012
Main Authors: Shao Yuan Huang, Sui Sun Cheng
Format: Article
Language:English
Published: Український математичний журнал 2012
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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