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Positive solutions for a class of nonresonant m-point boundary value problems

Feng M., Zhang X., Ge W.

Journal of Applied Analysis

2008

Vol. 14, nr 1

115-129

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.