Existence of Positive Solutions for Nonlinear Third-Order Boundary Value Problem

الملخص EN

We are concerned with the existence of positive solutions for the nonlinear third-order three-point boundary value problem u′′′(t)+λg(t)f(u(t))=0, 0

We construct Green’s function for the associated linear boundary value problem and obtain some useful properties of Green’s function.

Finally, by using fixed-point index theorem in cones, we establish the existence results of positive solutions for the boundary value problem an example illustrates the application of the results obtained.