Displaying similar documents to “Asymptotic behavior of solutions of generalized ``food-limited'' type functional differential equations”

Comparison theorems for the third order trinomial differential equations with delay argument

Jozef Džurina, Renáta Kotorová (2009)

Czechoslovak Mathematical Journal

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In this paper we study asymptotic properties of the third order trinomial delay differential equation y ' ' ' ( t ) - p ( t ) y ' ( t ) + g ( t ) y ( τ ( t ) ) = 0 by transforming this equation to the binomial canonical equation. The results obtained essentially improve known results in the literature. On the other hand, the set of comparison principles obtained permits to extend immediately asymptotic criteria from ordinary to delay equations.

New oscillation criteria for first order nonlinear delay differential equations

Xianhua Tang, Jianhua Shen (2000)

Colloquium Mathematicae

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New oscillation criteria are obtained for all solutions of a class of first order nonlinear delay differential equations. Our results extend and improve the results recently obtained by Li and Kuang [7]. Some examples are given to demonstrate the advantage of our results over those in [7].