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In this article, we discuss the existence and multiplicity of positive solutions for the sixth-order boundary value problem with three variable parameters as follows: (Equation presented) where A(t), B(t), C(t) ∈ C[0,1], f(t, u): [0,1] × [0, ∞) → [0. ∞) is continuous. The proof of our main result is based upon spectral theory of operators and fixed point theorem in cone. © 2012 Li; licensee Springer.

The existence and multiplicity of positive solutions of nonlinear sixth-order boundary value problem with three variable coefficients