Positive solutions to semipositone (k,n−k) conjugate eigenvalue problems

In this paper, we consider the existence of positive solutions to the following semipositone (k,n−k) conjugate eigenvalue problems (SCEP): {(−1)(n−k)u(n)(t)=λf(t,u(t)),00 is positive parameter. The nonlinear function f may change sign for 0