Geodesic
Bulgakov problem for a hyperbolic equation and robust stability
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2021), pp. 23-30

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An inhomogeneous wave equation with dissipation in the presence of an external uncertain perturbation is considered. The problem of finding solutions with the maximum possible amplitudes is investigated. A method for solving this problem based on the Fourier method of separating variables and the Bulgakov problem of the maximum deviation of solutions of second-order ordinary differential equations with external uncertain perturbations is proposed. The application of the Fourier method is justified. The robust stability property of the considered wave equation is investigated. 
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     author = {V. N. Zhermolenko and R. Temoltzi-Avila},
     title = {Bulgakov problem for a hyperbolic equation and robust stability},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {23--30},
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     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2021_4_a3/}
}
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V. N. Zhermolenko; R. Temoltzi-Avila. Bulgakov problem for a hyperbolic equation and robust stability. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2021), pp. 23-30. http://geodesic.mathdoc.fr/item/VMUMM_2021_4_a3/