The existence and multiplicity of positive solutions of nonlinear sixth-order boundary value problem with three variable coefficients
Department of Mathematics, Longdong University, Qingyang 745000, Gansu, P. R. China
Boundary Value Problems 2012, 2012:22 doi:10.1186/1687-2770-2012-22Published: 22 February 2012
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:
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.