On a hyperbolic equation on a geometric graph with hysteresis type boundary conditions. (English) Zbl 1435.35402
Summary: In the present paper, we investigate the initial boundary value problem describing oscillation process on a geometric graph with hysteresis type boundary conditions. The analogue of the d’Alembert formula is obtained.
MSC:
| 35R02 | PDEs on graphs and networks (ramified or polygonal spaces) |
| 35L53 | Initial-boundary value problems for second-order hyperbolic systems |
| 49J52 | Nonsmooth analysis |
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