In this paper, we are concerned with the following generalized Sturm-Liouville multipoint boundary value problem u 00(t) + h (t) f (t, u (t), u 0 (t)) = 0, 0 \< t \< 1, au (0) - bu0 (0) = mX-2 i=1 aiu(ξi), cu (1) + du0 (1) = mX-2 i=1 biu(ξi), where 0 \< ξ1 \< {\textperiodcentered} {\textperiodcentered} {\textperiodcentered} \< ξm-2 \< 1 (m >= 3), a, b, c, d ∈ [0, $\infty$), ai , bi ∈ (0, $\infty$) (i = 1, 2, . . . , m - 2) are constants satisfying some suitable conditions. Existence criteria for at least three positive solutions are established by using the fixed point theorem of Avery and Peterson. The interesting point is the nonlinear term f which is involved with the first order derivative explicitly.

}, keywords = {34B15, 39A10}, issn = {1056-2176}, url = {https://acadsol.eu/dsa/articles/17/DSA-2007-313-324.pdf}, author = {YOU-WEI ZHANG and HONG-RUI SUN} }