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EXISTENCE OF POSITIVE SOLUTIONS FOR SELF-ADJOINT BOUNDARY-VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE
2011
Electronic Journal of Differential Equations
unpublished
Preserved Fulltext
In this article, we study the self-adjoint second-order boundary-value problem with integral boundary conditions, (p(t)x (t)) + f (t, x(t)) = 0, t ∈ (0, 1), p(0)x (0) = p(1)x (1), x(1) = Z 1 0 x(s)g(s)ds, which involves an integral boundary condition. We prove the existence of positive solutions using a new tool: the Leggett-Williams norm-type theorem for coincidences.
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