Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations

Irena Rachůnková, Lukáš Rachůnek and Jan Tomeček

Abstract and Applied Analysis, 2011, vol. 2011, 1-20

Abstract:

Asymptotic properties of solutions of the singular differential equation ( ð ‘ ( ð ‘¡ ) ð ‘¢ î…ž ( ð ‘¡ ) ) î…ž = ð ‘ ( ð ‘¡ ) ð ‘“ ( ð ‘¢ ( ð ‘¡ ) ) are described. Here, f is Lipschitz continuous on ℝ and has at least two zeros 0 and ð ¿ > 0 . The function p is continuous on [0, ∞ ) and has a positive continuous derivative on (0, ∞ ) and ð ‘ ( 0 ) = 0 . Further conditions for f and p under which the equation has oscillatory solutions converging to 0 are given.

Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2011/408525.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2011/408525.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:408525

DOI: 10.1155/2011/408525

Access Statistics for this article

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