References
- Pang JS, Stewart DE. Differential variational inequalities. Math Program. 2008;113:345–424.
- Chen X, Wang Z. Differential variational inequality approach to dynamic games with shared constraints. Math Program. 2014;146:379–408.
- Chen X, Wang Z. Convergence of regularized time-stepping methods for differential variational inequalities. SIAM J Optim. 2013;23:1647–1671.
- Gwinner J. On a new class of differential variational inequalities and a stability result. Math Program. 2013;139:205–221.
- Ke TD, Loi NV, Obukhovskii V. Decay solutions for a class of fractional differential variational inequalities. Fract Calc Appl Anal. 2015;18:531–553.
- Li XS, Huang NJ, O'Regan D. Differential mixed variational inequalities in finite dimensional spaces. Nonlinear Anal TMA. 2010;72:3875–3886.
- Li XS, Huang NJ, O'Regan D. A class of impulsive differential variational inequalities in finite dimensional spaces. J Franklin Inst. 2016;353:3151–3175.
- Liu ZH, Motreanu D, Zeng SD. Generalized penalty and regularization method for differential variational-hemivariational inequalities. SIAM J Optim. 2021;31:1158–1183.
- Liu ZH, Motreanu D, Zeng SD. Nonlinear evolutionary systems driven by mixed variational inequalities and its applications. Nonlinear Anal RWA. 2018;42:409–421.
- Liu ZH, Loi NV, Obukhovskii V. Existence and global bifurcation of periodic solutions to a class of differential variational inequalities. Int J Bifurcat Chaos. 2013;23:ID 1350125.
- Liu ZH, Zeng SD. Differential variational inequalities in infinite Banach spaces. Acta Math Sci. 2017;37:26–32.
- Liu ZH, Migórski S, Zeng SD. Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces. J Differ Equ. 2017;263:3989–4006.
- Liu ZH, Motreanu D, Zeng SD. On the well-posedness of differential mixed quasi-variational inequalities. Topol Meth Nonl Anal. 2018;51:135–150.
- Liu ZH, Zeng SD, Motreanu D. Evolutionary problems driven by variational inequalities. J Differ Equ. 2016;260:6787–6799.
- Liu ZH, Zeng SD, Motreanu D. Partial differential hemivariational inequalities. Adv Nonlinear Anal. 2018;7:571–586.
- Loi NV. On two-parameter global bifurcation of periodic solutions to a class of differential variational inequalities. Nonlinear Anal TMA. 2015;122:83–99.
- Migórski S, Zeng SD. A class of generalized evolutionary problems driven by variational inequalities and fractional operators. Set-Valued Var Anal. 2019;27:949–970.
- Migórski S, Zeng SD. A class of differential hemivariational inequalities in Banach spaces. J Global Optim. 2018;72:761–779.
- Migórski S, Zeng SD. Hyperbolic hemivariational inequalities controlled by evolution equations with application to adhesive contact model. Nonlinear Anal. RWA. 2018;43:121–143.
- Migórski S, Zeng SD. Mixed variational inequalities driven by fractional evolutionary equations. Acta Math Sci. 2019;39:461–468.
- Nguyen TVA, Tran DK. On the differential variational inequalities of parabolic-elliptic type. Math Meth Appl Sci. 2017;40:4683–4695.
- Van NT, Ke TD. Asymptotic behavior of solutions to a class of differential variational inequalities. Ann Polon Math. 2015;114:147–164.
- Wang X, Huang NJ. A class of differential vector variational inequalities in finite dimensional spaces. J Optim Theory Appl. 2014;162:633–648.
- Zeng SD, Liu ZH, Migórski S. A class of fractional differential hemivariational inequalities with application to contact problem. Z Angew Math Phys. 2018;69:23. https://doi.org/10.1007/s00033-018-0929-6
- Zeng SD, Migórski S, Khan AA. Nonlinear quasi-hemivariational inequalities: existence and optimal control. SIAM J Control Optim. 2021;59:1246–1274.
- Zeng SD, Migórski S, Liu ZH. Nonstationary incompressible Navier-Stokes system governed by a quasilinear reaction-diffusion equation. Sci Sinica Math. 2021;doi:10.1360/SCM-2020-0396
- Tang GJ, Cen JX, Nguyen VT, et al. Differential variational-hemivariational inequalities: existence, uniqueness, stability, and convergence. J Fixed Point Appl. 2020;22: pp 30.
- Vrabie II.
-semigroups and applications. Amsterdam: NorthHolland Publishing Co.; 2003. (North-Holland Mathematics Studies, Vol. 191).
- Migórski S, Ochal A, Sofonea M. Nonlinear inclusions and hemivariational inequalities, models and analysis of contact problems. New York: Springer; 2013. (Advances in Mechanics and Mathematics, Vol. 26).