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On a scalar boundary value problem of fourth order on a space net. (Russian) Zbl 0743.34030

The authors consider an ordinary differential equation on a graph and discuss a boundary value problem for the fourth order equation. This problem is a model of small deformations of hinge-tied elastic bars and it is reduced to the classic boundary fourth order differential equation.

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
05C99 Graph theory
34B05 Linear boundary value problems for ordinary differential equations
74H45 Vibrations in dynamical problems in solid mechanics
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