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- W4381247982 abstract "We consider the temporal periodic solutions to general nonhomogeneous quasilinear hyperbolic equations with a kind of weak diagonal dominant structure. Under the temporal periodic boundary conditions, the existence, stability and uniqueness of the time-periodic classical solutions are obtained.Moreover, the W2, regularity and stability around the time-periodic solutions are discussed. Our results reveal that the feedback boundary control with dissipative structure can stabilize the K-weakly diagonally dominant nonhomogeneous quasilinear hyperbolic system around the temporal periodic solution." @default.
- W4381247982 created "2023-06-20" @default.
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- W4381247982 date "2023-06-16" @default.
- W4381247982 modified "2023-09-23" @default.
- W4381247982 title "Temporal periodic solutions to nonhomogeneous quasilinear hyperbolic equations driven by time-periodic boundary conditions" @default.
- W4381247982 doi "https://doi.org/10.48550/arxiv.2306.09653" @default.
- W4381247982 hasPublicationYear "2023" @default.
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