Reduction method for a fourth-order equation on a graph |
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| Authors: | R Ch Kulaev |
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| Institution: | 1. South Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia
2. North-Ossetian State University, Vladikavkaz, Russia
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| Abstract: | We justify a method that permits one to reduce a boundary value problem on a graph to a problem on a narrower subset provided that the right-hand side of the differential equation is identically zero on some subgraph of the original graph. We find the signs of the coefficients in the boundary conditions of the reduced problem and clarify the relationship between these coefficients. |
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