Solvability of the boundary-value problem for a variable-order differential equation on a geometric graph

被引：0
作者：
K. P. Lazarev
T. V. Beloglazova
机构：
[1] Voronezh Military Aviation Engineering Institute,
来源：
Mathematical Notes | 2006年 / 80卷
关键词：
geometric graph (network ); ordinary differential equation on a graph; boundary-value problem; nondegeneracy; degeneracy; maximum principle;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The solvability of the boundary-value problem for a string-beam model is studied. The model is described by an equation of orders 2 or 4 on dirrerent edges of an arbitrary graph. Criteria for the problem to be degenerate and nondegenerate are obtained; in particular, it is proved that the nondegeneracy of the problem is equivalent to the maximum principle.
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页码：57 / 64
页数：7
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