Abstract
The transformation of a class of non-linear two-point boundary value problems into integral equations is presented by means of integration procedure. Two expressions by the integral equation are given based on the derivation from the original differential equation and the canonical pair of the original one. Several problems involved in the class of nonlinear two-point boundary value problems can be transformed into the expressions of integral equations based on these formulations. Through the illustrative numerical calculations of these derived integral equations, the validity and applicability of our integral equation approach are pointed out.
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