This paper concerns the existence and multiplicite of positive solutions for a class of nonresonant m-point boundary-value problem of second-order diferential equations Lx = λw(t)(t, x), 0ρ -integrable for some 1≤ p ≤ +∞. the arguments are based upen fixed point theorems in a cone and Hoelder's inequqlity. The nonexistence of positive solution is also studied. In addistion, some examples are included to demonstrate the main results.
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