From the introduction: For , let . Put . Put and , , .
Let us consider second-order impulsive differential equations of the type
where as usual ; and denote the right and left limits of at , respectively. Here denotes a linear functional of given by
involving a Stieltjes integral with a suitable function of bounded variation.
The existence of at least three positive solutions to impulsive second-order differential equations as above is investigated. Sufficient conditions which guarantee the existence of positive solutions are obtained, by using the Avery-Peterson theorem. An example is added to illustrate the results.