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Positive solutions of non‐positone Dirichlet boundary value problems with singularities in the phase variables
Authors:Ravi P Agarwal  Donal O'Regan  Svatoslav Stan k
Abstract:The paper presents existence results for positive solutions of the differential equations x ″ + μh (x) = 0 and x ″ + μf (t, x) = 0 satisfying the Dirichlet boundary conditions. Here μ is a positive parameter and h and f are singular functions of non‐positone type. Examples are given to illustrate the main results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Existence  positive solution  non‐positone singular boundary value problem  Dirichlet boundary conditions
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