[1] Arino O, Hbid M L, Dads E A. Delay Differential Equations and Applications. New York:Springer, 2006 [2] Aubin J P, Cellina A. Differential Inclusions:Set-Valued Maps and Viability Theory. Berlin:Springer, 1984 [3] Abbas S, Benchohra M, N'Guérékata G M. Topics in Fractional Differential Equations. Berlin:Springer, 2012 [4] Baleanu D, Diethelm K, Scalas E T, et al. Fractional Calculus:Models and Numerical Methods. 2nd ed. Singapore:World Scientific, 2017 [5] Diethelm K. The Analysis of Fractional Differential Equations. Berlin:Springer-Verlag, 2010 [6] Deimling K. Nonlinear Functional Analysis. Berlin:Springer-Verlag, 1985 [7] Deimling K. Multivalued Differential Equations. Berlin:Walter de Gruyter, 1992 [8] Erneux T. Applied Delay Differential Equations. New York:Springer, 2009 [9] Ekeland I, Temam R. Convex analysis and variational problems. Amsterdam:North-Holland Publ, 1976 [10] Clarke F H. Optimization and Nonsmooth Analysis. New York:John Wiley& Sons, 1983 [11] Lu L, Liu Z H, Obukhovskii V. Second order differential variational inequalities involving anti-periodic boundary value conditions. Journal of Mathematical Analysis and Applications, 2019, 473(2):846-865 [12] Górniewicz L. Topological Fixed Point Theory of Multivalued Mappings. 2nd ed. Berlin:Springer-Verlag, 2006 [13] Gwinner J. On a new class of differential variational inequalities and a stability result. Mathematical Programming Series B, 2013, 139(1/2):205-221 [14] Herrmann R. Fractional Calculus:An Introduction for Physicists. Singapore:World Scientific, 2011 [15] Kolmanovskii V, Myshkis A. Introduction to the Theory and Applications of Functional Differential Equations. Dordrecht, Boston, London:Kluwer Academic Publisher, 1999 [16] Kilbas A A, Srivastava H M, Trujillo J J. Theory and Applications of Fractional Differential Equations. Amsterdam:Elsevier, 2006 [17] Kamenskii M, Obukhovskii V, Zecca P. Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces. Berlin:Walter de Gruyter, 2001 [18] Dinh Ke T, Van Loi N, Obukhovskii V. Decay solutions for a class of fractional differential variational inequalities. Fractional Calculus and Applied Analysis, 2015, 18(3):531-553 [19] Li W, Wang X, Huang N J. Differential inverse variational inequalities in finite dimension spaces. Acta Mathematica Scientia, 2015, 35B(2):407-422 [20] Li W, Xiao Y B, Huang N J, et al. A class of differential inverse quasi-variational inequalities in finite dimensional spaces. Journal of Nonlinear Sciences and Applications, 2017, 10(8):4532-4543 [21] Li W, Xiao Y B, Wang X, et al. Existence and stability for a generalized differential mixed quasi-variational inequality. Carpathian Journal of Mathematics, 2018, 34(3):347-354 [22] Li X S, Huang N J, D. O'Regan. Differential mixed variational inequalities in finite dimensional spaces. Nonlinear Analysis:Theory Methods and Applications, 2010, 72(9/10):3875-3886 [23] Li X S, Huang N J, O'Regan D. A class of impulsive differential variational inequalities in finite dimensional spaces. Journal of the Franklin Institute, 2016, 353(13):3151-3175 [24] Liu Z H, Zeng S D, Motreanu D. Evolutionary problems driven by variational inequalities. Journal of Differential Equations, 2016, 260(9):6787-6799 [25] Liu Z H, Migórski S, Zeng S D. Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces. Journal of Differential Equations, 2017, 263(7):3989-4006 [26] Liu Z H, Motreanu D, Zeng S D. Nonlinear evolutionary systems driven by mixed variational inequalities and its applications. Nonlinear Analysis:Real World Applications, 2018, 42:409-421 [27] Liu Z H, Motreanu D, Zeng S D. Nonlinear evolutionary systems driven by quasi-hemivariational inequalities. Mathematical Methods in the Applied Sciences, 2018, 41(3):1214-1229 [28] Liu Z H, Zeng S D. Differential variational inequalities in infinite Banach spaces. Acta Mathematica Scientia, 2017, 37B(1):26-32 [29] Migórski S. On existence of solutions for parabolic hemivariational inequalities. Journal of Computational and Applied Mathematics, 2001, 129(1/2):77-87 [30] Migórski S, Zeng S D. Mixed variational inequalities driven by fractional evolutionary equations. Acta Mathematica Scientia, 2019, 39B(2):461-468 [31] Loi Van N. On two-parameter global bifurcation of periodic solutions to a class of differential variational inequalities. Nonlinear Analysis:Theory, Methods and Applications, 2015, 122(2015):83-99 [32] Niculescu S I. Delay Effects on Stability. Berlin:Springer-Verlag, 2001 [33] Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. Berlin:Springer-Verlag, 1983 [34] Podlubny I. Fractional Differential Equations. San Diego:Academic, 1999 [35] Pang J S, Stewart D E. Differential variational inequalities. Mathematical Programming, 2008, 113(2):345-424 [36] Anh N T V, Ke T D. Asymptotic behavior of solutions to a class of differential variational inequalities. Annales Polonici Mathematici, 2015, 114(2):147-164 [37] Wang J R, Zhou Y, Wei W. Optimal feedback control for semilinear fractional evolution equations in Banach spaces. Systems Control Letters, 2012, 61(4):472-476 [38] Wang X, Qi Y W, Tao C Q, et al. A class of delay differential variational inequalities. Journal of Optimization Theory and Applications, 2017, 172(1):56-69 [39] Smith H. An Introduction to Delay Differential Equations with Applications to the Life Sciences. New York:Springer, 2011 [40] Zhou Y, Jiao F. Existence of mild solutions for fractional neutral evolution equations. Computers and Mathematics with Applications, 2010, 59(3):1063-1077 [41] Zeng S D, Liu Z H, Migórski S. A class of fractional differential hemivariational inequalities with application to contact problem. Zeitschrift Für Angewandte Mathematik Und Physik, 2018, 69(2):36 [42] Zeng S D, Migórski S. A class of time-fractional hemivariational inequalities with application to frictional contact problem. Communications in Nonlinear Science and Numerical Simulation, 2018, 56:34-48 [43] Lightbourne J H, Rankin S M. A partial functional differential equation of Sobolev type. Journal of Mathematical Analysis and Applications, 1983, 93(2):328-337 |