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Multiplicity of positive solutions for second order Sturm-Liouville boundary value problems


K. R. PRASAD , N. SREEDHAR, L. T. WESEN


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abs_cmi_2016_25_2_215-222

In this paper, we develop criteria for the existence of multiple positive solutions for second order Sturm-Liouville boundary value problem, u 00 + k 2u + f(t, u) = 0, 0 ≤ t ≤ 1, au(0) − bu0 (0) = 0 and cu(1) + du0 (1) = 0, where k ∈  0, π 2  is a constant, by an application of Avery–Henderson fixed point theorem.