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中文摘要：
考虑二阶m点边值问题{un（t）＋q（t）f（t,u）=0,0〈t〈1,αu（0）-βu′（0）=0,u（1）-m-2∑i=1kiu（ζi）=0。其中α≥0，β≥0，q在t=0和t=1允许有奇性，f可以变号。通过构造合适的算子，用Leggett-Williams不动点定理，得到了至少3个正解。
英文摘要：
The second order m-point boundary value problems {un（t）＋q（t）f（t,u）=0,0〈t〈1, αu（0）-βu′（0）=0,u（1）-m-2∑i=1kiu（ζi）=0. is studied. Where α≥0,β≥0, q is allowed to be singular at t =0 and t = 1, fis allowed to change sign. By construc- ting available operator and using the Leggett-Williams fixed point theorem, the existence of three nontrivial positive so- lutions at least is obtained.
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