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Wellposedness for parametric vector equilibrium problems with applications
1.  Department of Applied Mathematics, National Sun Yatsen University, Kaohsiung, 80424, Taiwan 
2.  Department of Information Management, Cheng Shiu University, No.840, Chengcing Rd., Niaosong Township, Kaohsiung County 833, Taiwan, R.O.C. 
3.  Department of Mathematics, National Cheng Kung University, Tainan, 701, Taiwan, National Center for Theoretical Sciences, Taiwan 
4.  Department of Mathematics, National Sun Yatsen University, Kaohsiung, Taiwan 80424 
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M. H. Li, S. J. Li, W. Y. Zhang. LevitinPolyak wellposedness of generalized vector quasiequilibrium problems. Journal of Industrial and Management Optimization, 2009, 5 (4) : 683696. doi: 10.3934/jimo.2009.5.683 
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Lam Quoc Anh, Pham Thanh Duoc, Tran Quoc Duy. Existence and wellposedness for excess demand equilibrium problems. Numerical Algebra, Control and Optimization, 2021 doi: 10.3934/naco.2021043 
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C. H. Arthur Cheng, John M. Hong, YingChieh Lin, Jiahong Wu, JuanMing Yuan. Wellposedness of the twodimensional generalized BenjaminBonaMahony equation on the upper half plane. Discrete and Continuous Dynamical Systems  B, 2016, 21 (3) : 763779. doi: 10.3934/dcdsb.2016.21.763 
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Zhaohui Huo, Boling Guo. The wellposedness of Cauchy problem for the generalized nonlinear dispersive equation. Discrete and Continuous Dynamical Systems, 2005, 12 (3) : 387402. doi: 10.3934/dcds.2005.12.387 
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Hongmei Cao, HaoGuang Li, ChaoJiang Xu, Jiang Xu. Wellposedness of Cauchy problem for Landau equation in critical Besov space. Kinetic and Related Models, 2019, 12 (4) : 829884. doi: 10.3934/krm.2019032 
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Changyan Li, Hui Li. Wellposedness of the twophase flow problem in incompressible MHD. Discrete and Continuous Dynamical Systems, 2021, 41 (12) : 56095632. doi: 10.3934/dcds.2021090 
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Luciano Abadías, Carlos Lizama, Pedro J. Miana, M. Pilar Velasco. On wellposedness of vectorvalued fractional differentialdifference equations. Discrete and Continuous Dynamical Systems, 2019, 39 (5) : 26792708. doi: 10.3934/dcds.2019112 
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JianWen Peng, XinMin Yang. LevitinPolyak wellposedness of a system of generalized vector variational inequality problems. Journal of Industrial and Management Optimization, 2015, 11 (3) : 701714. doi: 10.3934/jimo.2015.11.701 
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Xiaoqiang Dai, Shaohua Chen. Global wellposedness for the Cauchy problem of generalized Boussinesq equations in the control problem regarding initial data. Discrete and Continuous Dynamical Systems  S, 2021, 14 (12) : 42014211. doi: 10.3934/dcdss.2021114 
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Yuanyuan Ren, Yongsheng Li, Wei Yan. Sharp wellposedness of the Cauchy problem for the fourth order nonlinear Schrödinger equation. Communications on Pure and Applied Analysis, 2018, 17 (2) : 487504. doi: 10.3934/cpaa.2018027 
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Changxing Miao, Bo Zhang. Global wellposedness of the Cauchy problem for nonlinear Schrödingertype equations. Discrete and Continuous Dynamical Systems, 2007, 17 (1) : 181200. doi: 10.3934/dcds.2007.17.181 
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Wei Yan, Yimin Zhang, Yongsheng Li, Jinqiao Duan. Sharp wellposedness of the Cauchy problem for the rotationmodified KadomtsevPetviashvili equation in anisotropic Sobolev spaces. Discrete and Continuous Dynamical Systems, 2021, 41 (12) : 58255849. doi: 10.3934/dcds.2021097 
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