[1] Okochi H. On the existence of periodic solutions to nonlinear abstract parabolic equations. J Math Soc Japan, 1988, 40: 541–553
[2] Okochi H. On the existence of anti-periodic solutions to a nonlinear evolution equation associated with odd subdifferential operators. J Funct Anal, 1990, 91: 246-258
[3] Okochi H. On the existence of anti-periodic solutions to nonlinear parabolic equations in noncylindrical domains. Nonlinear Anal, 1990, 14: 771–783
[4] Haraux A. Anti-periodic solutions of some nonlinear evolution equations. Manuscripta Math, 1989, 63: 479–505
[5] Aizicovici S, Pavel N H. Anti-periodic solutions to a class of nonlinear differential equations in Hilbert space. J Funct Anal, 1991, 99: 387–408
[6] Aizicovici S, McKibben M, Reich S. Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities. Nonlinear Anal, 2001, 43: 233–251
[7] Chen Y Q. Anti-periodic solutions for semilinear evolution equations. J Math Anal Appl, 2006, 315: 337–348
[8] Chen Y Q, Nieto J J, O'Regan D. Anti-periodic solutions for full nonlinear first-order differential equations. Math Comput Modelling, 2007, 46: 1183–1190
[9] Liu Z H. Anti-periodic solutions to nonlinear evolution equations. J Funct Anal, 2010, 258(6): 2026–2033
[10] Liu J B, Liu Z H. On the existence of anti-periodic solutions for implicit differential equations. Acta Math Hungar, 2011, 132(3): 294–305.
[11] Carl S, Motreanu D. Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gra-dient. J Differ Equ, 2003, 191: 206–233
[12] Carl S, Motreanu D. Comparison principle for quasilinear parabolic inclusions with Clarke's gradient. Adv Nonlinear Stud, 2009, 9: 69–80
[13] Liu Z H. Nonlinear evolution variational inequalities with nonmonotone perturbations. Nonlinear Anal, 1997, 29: 1231–1236
[14] Liu Z H. A class of evolution hemivariational inequalities. Nonlinear Anal, 1999, 36: 91–100
[15] Liu Z H. Browder-Tikhonov regularization of non-coercive evolution hemivariational inequalities. Inverse Problems, 2005, 21: 13–20
[16] Liu Z H. Existence results for quasilinear parabolic hemivariational inequalities. J Differ Equ, 2008, 244: 1395–1409
[17] Liu Z H, Motreanu D. A class of variational-hemivariational inequalities of elliptic type. Nonlinearity, 2010, 23: 1741–1752
[18] Liu Z H, Szanto I. Inverse coefficient problems for parabolic hemivariational inequalities. Acta Math Sci, 2011, 31B(4): 1318–1326
[19] Mig´orski S, Ochal A, Sofonea M. Solvability of dynamic antiplane frictional contact problems for viscoelas-tic cylinders. Nonlinear Anal, 2009, 70: 3738–3748
[20] Mig´orski S, Ochal A, Sofonea M. Weak solvability of antiplane frictional contact problems for elastic cylinders. Nonlinear Anal Real World Appl, 2010, 11: 172–183
[21] Naniewicz Z, Panagiotopoulos P D. Mathematical Theory of Hemivariational Inequalities and Applications. New York: Marcel Dekker, 1995
[22] Peng Z J, Liu Z H. Evolution hemivariational inequality problems with doubly nonlinear operators. J Glob Optim, 2011 51: 413–427
[23] Peng Z J, Liu Y L. Existence results for a class of pseudomonotone elliptic-parabolic inclusions. Acta Math Sci, 2011, 31B(5): 1709–1718
[24] Rauch J. Discontinuous semilinear differential equations and multiple-valued maps. Proc Amer Math Soc, 1977, 64: 272–282
[25] Liu Z H, Zhang S S. On the degree therory for multivalued (S+) type mappings. Appl Math Mech, 1998, 19: 1141–1149
[26] Zeidler E. Nonlinear Functional Analysis and Its Applications IIA and IIB. New York: Springer, 1990
[27] Berkovits J, Mustonen V. Monotonicity methods for nonlinear evolution equations. Nonlinear Anal, 1996, 27: 1397–1405
[28] Denkowski Z, Migorski S, Papageorgiou N S. An Introduction to Nonlinear Analysis and Its Applications. Boston, Dordrecht, London, New York: Kluwer Academic/Plenum Publishers, 2003
[29] Clarke F H. Optimization and Nonsmooth Analysis. New York: Wiley, 1983 |