Positive Solutions to a Fourth Order Boundary Value Problem
The authors consider a fourth order two-point boundary value problem. Some a priori estimates to positive solutions for the problem are obtained. Explicit sufficient conditions for existence and nonexistence of positive solutions to the problem are established. An example to illustrate the results is included.
Graef, J., Kong, L., Kong, Q., & Yang, B. (2011). Positive solutions to a fourth order boundary value problem Birkhäuser Basel. doi:10.1007/s00025-010-0068-7