On Properties of Third-Order Differential Equations via Comparison Principles

B. Baculíková and J. Džurina

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-10

Abstract:

The objective of this paper is to offer sufficient conditions for certain asymptotic properties of the third-order functional differential equation [ ð ‘Ÿ ( ð ‘¡ ) [ ð ‘¥ ′ ( ð ‘¡ ) ] ð ›¾ ] î…ž î…ž + ð ‘ ( ð ‘¡ ) ð ‘¥ ( ð œ ( ð ‘¡ ) ) = 0 , where studied equation is in a canonical form, that is, ∫ ∞ ð ‘Ÿ − 1 / ð ›¾ ( ð ‘ ) d ð ‘ = ∞ . Employing Trench theory of canonical operators, we deduce properties of the studied equations via new comparison theorems. The results obtained essentially improve and complement earlier ones.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:975298

DOI: 10.1155/2012/975298

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