期刊论文

Yang, Zhifeng

英文

Open Mathematics

2391-5455

2020

18

1

1302-1316

10.1515/math-2020-0075

This work was supported by the Scientific Research Fund of Hunan Provincial Education Department under 17A029 and 18A440, the National Science Foundation of China under 11671128, the Science Research Project of Hengyang Normal University under 16D01, the Applicationoriented Special Disciplines, and the Double First-Class University Project of Hunan Province under Xiangjiaotong [2018] 469. This work was supported by the Scientific Research Fund of Hunan Provincial Education Department under 17A029 and 18A440, the National Science Foundation of China under 11671128, the Science Research Project of Hengyang Normal University under 16D01, the Application-oriented Special Disciplines, and the Double First-Class University Project of Hunan Province under Xiangjiaotong [2018] 469.

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In this paper, we investigate the problem for optimal control of a viscous generalized θ -type dispersive equation (VG θ -type DE) with weak dissipation. First, we prove the existence and uniqueness of weak solution to the equation. Then, we present the optimal control of a VG θ -type DE with weak dissipation under boundary condition and prove the existence of optimal solution to the problem. © 2020 Guobing F...