On the relation between interior critical points of positive solutions and parameters for a class of nonlinear boundary value problems

G. A. Afrouzi and M. Khaleghy Moghaddam

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-10

Abstract:

We consider the boundary value problem − u ″ ( x ) = λ f ( u ( x ) ) , x ∈ ( 0 , 1 ) ; u ′ ( 0 ) = 0 ; u ′ ( 1 ) + α u ( 1 ) = 0 , where α > 0 , λ > 0 are parameters and f ∈ c 2 [ 0 , ∞ ) such that f ( 0 ) < 0 . In this paper, we study for the two cases ρ = 0 and ρ = θ ( ρ is the value of the solution at x = 0 and θ is such that F ( θ ) = 0 where F ( s ) = ∫ 0 s f ( t ) d t ) the relation between λ and the number of interior critical points of the nonnegative solutions of the above system.

Date: 2002
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/31/936529.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/31/936529.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:936529

DOI: 10.1155/S0161171202109276

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 ().