Time-periodic solutions to quasilinear hyperbolic systems with time-periodic boundary conditions

被引：9

作者：

Qu, Peng ^{[1
,2
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2020年 / 139卷

关键词：

Time-periodic solution; Quasilinear hyperbolic system; Time-periodic boundary condition; Asymptotic stability; FEEDBACK STABILIZATION; LYAPUNOV STABILITY; EQUATIONS; STATE;

D O I：

10.1016/j.matpur.2019.10.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For quasilinear hyperbolic systems with time-periodic boundary conditions possessing a dissipative structure, the existence, uniqueness and stability of the time-periodic classical solutions are proved. Moreover, the feedback boundary control with dissipative structure can stabilize the system around the time-periodic solution, provided that the time-periodic boundary conditions are W-2,W-infinity smooth. (C) 2019 Elsevier Masson SAS. All rights reserved.

引用

页码：356 / 382

页数：27

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