On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations

Yuangong Sun

Abstract and Applied Analysis, 2011, vol. 2011, 1-6

Abstract:

We investigate the oscillation of the following higher-order functional differential equation: ð ‘¥ ( ð ‘› ) ( ð ‘¡ ) + ð ‘ž ( ð ‘¡ ) | ð ‘¥ ( ð ‘¡ − ð œ ) | 𠜆 − 1 ð ‘¥ ( ð ‘¡ − ð œ ) = ð ‘’ ( ð ‘¡ ) , where ð ‘ž ( ð ‘¡ ) and ð ‘’ ( ð ‘¡ ) are continuous functions on [ ð ‘¡ 0 , ∞ ) , 1 > 𠜆 > 0 and ð œ â‰ 0 are constants. Unlike most of delay-dependent oscillation results in the literature, two delay-independent oscillation criteria for the equation are established in both the case ð œ > 0 and the case ð œ < 0 under the assumption that the potentials ð ‘ž ( ð ‘¡ ) and ð ‘’ ( ð ‘¡ ) change signs on [ ð ‘¡ 0 , ∞ ) .

Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2011/173158.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2011/173158.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:173158

DOI: 10.1155/2011/173158

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().