Existence of three positive solutions to a second-order boundary value problem on a measure chain

Growth conditions are imposed on f such that the boundary value problem -xΔΔ(t)= f(xσ(t)), t ∈ [t1, t2], λx(t1) - ηxΔ(t1) = 0 and µx(σ(t2)) + δxΔ(σ(t2)) = 0, where t1 < t2 from a measure chain T, has at least three positive solutions by way of the five functionals fixed point theorem.

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