On the solvability of a boundary value problem for a fourth-order equation on a graph

被引:0
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作者
R. Ch. Kulaev
机构
[1] Russian Academy of Sciences,South Mathematical Institute, Vladikavkaz Scientific Center
来源
Differential Equations | 2014年 / 50卷
关键词
Unique Solvability; Boundary Edge; Internal Vertex; Boundary Vertex; Nonempty Intersection;
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学科分类号
摘要
We consider a boundary value problem for a fourth-order equation on a graph modeling elastic deformations of a plane rod system with conditions of rigid connection at the vertices. Conditions for the unique solvability are stated. We also present sufficient conditions for the problem to be degenerate.
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页码:25 / 32
页数:7
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