On the Existence of Positive Solutions of a Nonlinear Differential Equation

Sonia Ben Othman, Habib Mâagli and Noureddine Zeddini

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-12

Abstract:

We study some existence results for the nonlinear equation ( 1 / A ) ( A u ' ) ' = u ψ ( x , u ) for x ∈ ( 0 , ω ) with different boundary conditions, where ω ∈ ( 0 , ∞ ] , A is a continuous function on [ 0 , ω ) , positive and differentiable on ( 0 , ω ) , and ψ is a nonnegative function on ( 0 , ω ) × [ 0 , ∞ ) such that t ↦ t ψ ( x , t ) is continuous on [ 0 , ∞ ) for each x ∈ ( 0 , ω ) . We give asymptotic behavior for positive solutions using a potential theory approach.

Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2007/058658.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2007/058658.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:jijmms:058658

DOI: 10.1155/2007/58658

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().