Eigenvalue Intervals for Iterative Systems of Nonlinear \(m\)-Point Boundary Value Problems on Time Scales
We determine the eigenvalue intervals of the parameters \(\lambda _1,\lambda _2,\ldots ,\lambda _n\) for which there exist positive solutions of the iterative system of \(m\)-point boundary value problems on time scales. The method involves application of GuoKrasnoselskii fixed point theorem for operators on a cone in a Banach space.
eigenvalue interval iterative system \(m\)-point boundary value problem time scale positive solution cone greens function