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Topological structures of boundary value problems in block elements

机译:块元素中边值问题的拓扑结构

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Block structures are considered; a boundary value problem for a system of inhomogeneous partial differential equations with constant coefficients is formulated in each block of a structure. The problem of matching solutions to boundary value problems in blocks with each other by topological study of the properties of solutions in the block structure is examined in the conditions of correct solvability of boundary value problems in blocks of the block structure. Some new properties of solutions to boundary value problems in block structures are found that are important for applications.
机译:考虑块结构;在结构的每个块中提出了具有常数系数的非均匀偏微分方程系统的边值问题。在块结构的边值问题的正确可解性的条件下,通过对块结构的解的性质进行拓扑研究,研究了使块中的边值问题的解决方案彼此匹配的问题。发现了对块结构中的边值问题的解的一些新性质,这些性质对于应用很重要。

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