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- 2016
共振条件下的二阶多点边值问题解的存在性和多解性
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Abstract:
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 1 2<… m<1, a k>0(k=1,2,…,m)。
Abstract: It is investigated that the existence and multiplicity results for a second-order multi-point boundary value problem at resonanceu″(t)=f(t,u(t))+e(t), t∈［0,1］,u'(0)=0, u(1)=∑mk=1aku(ηk)by the connectivity properties of solution set of parameterized families of compact vector fields. where f:［0,1］×R→R is continuous, e∈C(［0,1］,R), 0 1 2<… m<1, a k>0(k=1,2,…,m)
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