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Differential equations on graphs

A. I. Vol'pert


Abstract: The differential equations encountered in various applications may be treated as equations on graphs. In the paper it is shown that the structure of the graph allows us to investigate the properties of the solutions of such equations.
Bibliography: 3 titles.

UDC: 517.9

MSC: Primary 05C99, 34C99; Secondary 80A30, 92A05, 35K50

Received: 25.06.1971

 English version: Mathematics of the USSR-Sbornik, 1972, 17:4, 571–582

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