On a singular multi-point third-order boundary value problem on the half-line
We establish not only sufficient but also necessary conditions for existence of solutions to a singular multi-point third-order boundary value problem posed on the half-line. Our existence results are based on the Krasnosel’skii fixed point theorem on cone compression and expansion. Nonexistence results are proved under suitable a priori estimates. The nonlinearity which satisfies upper and lower-homogeneity conditions in the space variables may be also singular at time . Two examples of applications...