|Title||POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR THIRD-ORDER THREE-POINT NONHOMOGENEOUS BOUNDARY VALUE PROBLEM|
|Publication Type||Journal Article|
|Year of Publication||2010|
|Authors||WANG CAI-XUN, SUN HONG-RUI|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||34B15, 39A10|
In this paper we establish the existence or nonexistence of positive solutions for singular third-order three-point nonhomogeneous boundary value problem. First, we give a new form of the solution, and then, some useful properties of the Green’s function are obtained by a new method. Finally, we employ a cone theoretic fixed-point index theorem to establish our results.