On the nonoscillation of an equation on a graph.
R Kulaev - Differential Equations, 2014 - search.ebscohost.com
Differential Equations, 2014•search.ebscohost.com
… Abstract—We find a relationship between the weak nonoscillation of an equation on a
graph and the positivity of the Green function of the corresponding Dirichlet problem. … 3.1],
we interpret the differential equation (1) on a graph as a set of differential equations on the
edges of the graph and a set of matching conditions at the interior vertices. … The results of
the present paper were reported at the seminar on qualitative theory of differential
equations at Moscow State University on October 31, 2014. …
graph and the positivity of the Green function of the corresponding Dirichlet problem. … 3.1],
we interpret the differential equation (1) on a graph as a set of differential equations on the
edges of the graph and a set of matching conditions at the interior vertices. … The results of
the present paper were reported at the seminar on qualitative theory of differential
equations at Moscow State University on October 31, 2014. …
Abstract
We find a relationship between the weak nonoscillation of an equation on a graph and the positivity of the Green function of the corresponding Dirichlet problem.
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