Reduction method for a fourth-order equation on a graph
RC Kulaev - Differential Equations, 2014 - Springer
Differential Equations, 2014•Springer
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.
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.
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.
Springer
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