Nonnegative solution curves of semipositone problems with Dirichlet boundary conditions

We consider the boundary value problem - u ′ ′ ( x ) = λ f ( u ( x ) ) , x ∈ ( - 1 , 1 ) , u ( - 1 ) = 0 = u ( 1 ) , where λ > 0 is a parameter and f ∈ C 2 ( 0 , ∞ ) is monotonically increasing and concave up such that f ( 0 ) < 0 (i.e. is the semipositone). In this paper we study the case p =...

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Veröffentlicht in:	Nonlinear analysis 2005-05, Vol.61 (4), p.485-489
Hauptverfasser:	Afrouzi, G.A., Moghaddam, M. Khaleghy
Format:	Artikel
Sprache:	eng
Schlagworte:	Dirichlet boundary conditions Exact sciences and technology Mathematical analysis Mathematics Nonnegative solution Ordinary differential equations Sciences and techniques of general use Semipositone problems
Online-Zugang:	Volltext
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