1 |
Mawhin J, Willem M. Critical Point Theory and Hamiltonian Systems. New York: Springer-Verlag, 1989
|
2 |
Rabinowitz P H. Minimax Methods in Critical Point Theory with Applications to Differential Equations. Providence, RI: American Mathematical Society, 1986
|
3 |
Brezis H. Functional Analysis, Sobolev Spaces and Partial Differential Equations. Berlin: Springer, 2011
|
4 |
Brezis H , Nirengerg L . Remarks on finding critical points. Commmn Pure Appl Math, 1991, 44: 939- 963
doi: 10.1002/cpa.3160440808
|
5 |
Tang C , Wu X . Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems. J Diff Equs, 2010, 248: 660- 692
doi: 10.1016/j.jde.2009.11.007
|
6 |
Okochi H . On the existence of periodic solutions to nonlinear abstract parabolic equations. J Math Soc Japan, 1988, 40: 541- 553
|
7 |
Aizicovici S , Pavel N H . Anti-periodic solutions to a class of nonlinear differential equations in Hilbert space. J Func Anal, 1991, 99: 387- 408
doi: 10.1016/0022-1236(91)90046-8
|
8 |
Ahmad B , Nieto J J . Anti-periodic fractional boundary value problems. Comput Math Appl, 2011, 62: 1150- 1156
doi: 10.1016/j.camwa.2011.02.034
|
9 |
Chen Y , O'Regan D , Agarwal R P . Anti-periodic solutions for evolution equations associated with monotone type mappings. Appl Math Lett, 2010, 23: 1320- 1325
doi: 10.1016/j.aml.2010.06.022
|
10 |
Park J Y , Ha T G . Existence of antiperiodic solutions for hemivariational inequalities. Nonlinear Anal, 2008, 68: 747- 767
doi: 10.1016/j.na.2006.11.032
|
11 |
Wu R , Cong F , Li Y . Anti-periodic solutions for second order differential equations. Appl Math Letters, 2011, 24: 860- 863
doi: 10.1016/j.aml.2010.12.031
|
12 |
Zhao X, Chang X. Existence of anti-periodic solutions for second order differential equations invovling the Fučík spectrum. Boundary Value Problems, 2012, 2012, Article number: 149
|
13 |
Wang W , Shen J . Existence of solutions for anti-periodic boundary value problems. Nonlinear Anal, 2009, 70: 598- 605
doi: 10.1016/j.na.2007.12.031
|
14 |
Chen T , Lin W , Zhang J . The existence of anti-periodic solutions for high order Duffing equations. J Appl Math Comput, 2008, 27: 271- 280
doi: 10.1007/s12190-008-0056-1
|
15 |
Tian Y , Henderson J . Three anti-periodic solutions for second-order impulsive differential inclusions via nonsmooth critical point theory. Nonlinear Anal: TMA, 2012, 75: 6496- 6505
doi: 10.1016/j.na.2012.07.025
|
16 |
Tian Y , Henderson J . Anti-periodic solutions for a gradient system with resonance via a variational approach. Math Nachr, 2013, 286 (14/15): 1537- 1547
|
17 |
Iannizzotto A . Three critical points for perturbed nonsmooth functionals and applications. Nonlinear Anal, 2010, 72: 1319- 1338
doi: 10.1016/j.na.2009.08.001
|