Abstract:

Using the Leray Schauder nonlinear alternative, we studied the nonlinear boundary value problems involving the distributional HenstockKurzweil integral. In the distributions, we investigated the existence of solution of threepoint boundary value problems for the second order differential equation, which is more extensive.

Key words: distributional HenstockKurzweil integral； nonlinear boundary value problems； distributional derivative； Leray Schauder nonlinear , alternative