Positive solution to a semipositone m-point boundary value problem of impulsive differential equations

摘要

In this paper, we discuss positive solution of the semipositone m-point boundary value problem of impulsive differential equations in which nonlinear term has not any numerical lower bound. We formulate sufficient conditions under which our problem has at least one positive solution. To obtain our result, we apply Hammerstein integral equation and the Krasnosel'skii fixed point theorem. Moreover, the Lebesgue dominated convergence theorem and the Fatou lemma will be used.