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References
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V. V. Provotorov, S. M. Sergeev, A. A. Part, “Solvability of hyperbolic systems with distributed parameters on the graph in the weak formulation”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 14:1 (2019), 107–117   |
| 2. |
O. A. Ladyzhenskaya, Boundary Value Problems of Mathematical Physics, Nauka Publ., Moscow, 1973, 407 pp. |
| 3. |
A. P. Zhabko, A. I. Shindyapin, V. V. Provotorov, “Stability of weak solutions of parabolic systems with distributed parameters on the graph”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 15:4 (2019), 457–471 |
| 4. |
V. V. Provotorov, V. I. Ryazhskikh, Yu. A. Gnilitskaya, “Unique weak solvability of nonlinear initial boundary value problem with distributed parameters in the netlike domain”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 13:3 (2017), 264–277 |
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A. S. Volkova, V. V. Provotorov, “Generalized solutions and generalized eigenfunctions of boundary-value problems on a geometric graph”, Russian Mathematics, 58:3 (2014), 1–13     |
| 6. |
V. V. Provotorov, E. N. Provotorova, “Synthesis of optimal boundary control of parabolic systems with delay and distributed parameters on the graph”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 13:2 (2017), 209–224 |
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V. V. Provotorov, “Expansion of eigenfunctions of Sturm-Liouville problem on astar graph”, Russian Mathematics, 3 (2008), 45–57 |
| 8. |
O. A. Ladyzhenskaya, A Mixed Problem for Hyperbolic Equations, GITTL, M., 1953, 282 pp. (In Russian) |
| 9. |
A. P. Zhabko, V. V. Provotorov, O. R. Balaban, “Stabilization of weak solutions of parabolic systems with distributed parameters on the graph”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 15:2 (2019), 187–198 |
| 10. |
J.-L. Lions, Some Methods of Solving Non-Linear Boundary Value Problems, Mir Publ., Moscow, 1972, 587 pp. |
| 11. |
V. V. Provotorov, E. N. Provotorova, “Optimal control of the linearized Navier-Stokes system in a netlike domain”, Vestnik of Saint Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes, 13:4 (2017), 431–443 |
| 12. |
M. A. Artemov, E. S. Baranovskii, A. P. Zhabko, V. V. Provotorov, “On a 3D model of non-isothermal flows in a pipeline network”, Journal of Physics. Conference Series, 1203 (2019), Article ID 012094 |
| 13. |
S. L. Podvalny, V. V. Provotorov, “Determining the starting function in the task of observing the parabolic system with distributed parameters on the graph”, Vestnik of Voronezh State Technical University, 10:6 (2014), 29–35 |
