Asymptotic Properties of Third-Order Delay Trinomial Differential Equations

J. Džurina and R. Komariková

Abstract and Applied Analysis, 2011, vol. 2011, 1-10

Abstract:

The aim of this paper is to study properties of the third-order delay trinomial differential equation ( ( 1 / ð ‘Ÿ ( ð ‘¡ ) ) 𠑦 î…ž î…ž ( ð ‘¡ ) ) î…ž + ð ‘ ( ð ‘¡ ) 𠑦 î…ž ( ð ‘¡ ) + ð ‘ž ( ð ‘¡ ) 𠑦 ( 𠜎 ( ð ‘¡ ) ) = 0 , by transforming this equation onto the second-/third-order binomial differential equation. Using suitable comparison theorems, we establish new results on asymptotic behavior of solutions of the studied equations. Obtained criteria improve and generalize earlier ones.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:730128

DOI: 10.1155/2011/730128

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