On the Existence of Positive Solutions of a Nonlinear Differential Equation
We study some existence results for the nonlinear equation (1/A)(Au')'=uψ(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↦tψ(x,t) is con...
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Main Authors: | Sonia Ben Othman, Habib Mâagli, Noureddine Zeddini |
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Format: | Article |
Language: | English |
Published: |
Wiley
2007-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2007/58658 |
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