The authors use the upper and lower solution method to study the existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation. Some new existence results are obtained by developing the upper and lower solution method. Some applications are also presented.
Yongxin Gao. Fengqin Wang. "Existence of Solutions of Nonlinear Mixed Two-Point Boundary Value Problems for Third-Order Nonlinear Differential Equation." J. Appl. Math. 2012 1 - 12, 2012. https://doi.org/10.1155/2012/262139