Nontrivial solutions for a class of semipositone superlinear beam equations with Neumann boundary condition(一类带Neumann边界条件的半正超线性梁方程非平凡解的存在性)
在线性算子相应主特征值条件下，运用拓扑度方法和不动点理论，获得了带Neumann边界条件的半正超线性四阶方程y(4)(x)+(k1+k2)y″(x)+k1k2y(x)=λf(x,y(x)),0≤x≤1,y'(0)=y'(1)=y‴(0)=y‴(1)=0 非平凡解与正解的存在性，其中k1，k2为常数，参数λ>0，f： [0， 1]×R→R连续。...
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2023-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2023.04.004 |