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.
"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