山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (4): 49-52.doi: 10.6040/j.issn.1671-9352.0.2015.308
陈彬,Abuelgasimalshaby Elzebir
CHEN Bin, Abuelgasimalshaby Elzebir
摘要： 在共振条件∑mk=1ak=1下, 运用紧向量场方程的解集连通理论对二阶多点边值问题u″(t)=f(t,u(t))+e(t), t∈［0,1］,u'(0)=0, u(1)=∑mk=1aku(ηk)建立了解的存在性和多解性结果。其中, f:［0,1］×R→R连续, e∈C(［0,1］,R), 0<η1<η2<…<ηm<1, ak>0(k=1,2,…,m)。
中图分类号:
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