一类超线性Sturm-Liouville边值问题多个解的存在性

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应用拓扑度理论中的一个拓展定理讨论超线性方程u″+g(u)=p(t,u,u′)(0≤t≤1)的Sturm-Liouville边值问题多个解的存在性. 在g超线性增长且p关于后两个变量至多线性增长的条件下,所讨论的边值问题存在无穷多个解.
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