REFERENCES
[1] F. M. Atici and A. Cabada, Existence and uniqueness results for discrete second-order periodic
boundary value problems, Computers & Mathematics with Applications 45 (2003), 1417–1427.
[2] F. M. Atici and G. Sh. Guiseinov, Positive periodic solutions for nonlinear difference equations
with periodic coefficients, J. Mathematical Analysis and App. 232 (1999), 166–182.
[3] F. M. Atici and G. Sh. Guseinov, On the existence of solutions for nonlinear differential
equations with periodic boundary conditions, J. Comput. Applied Math. 132 (2001), 341–356.
[4] A. Dogan, J. R. Graef, and L. Kong, Higher order singular multi-point boundary value problems
on time scales, Proc. Edinburgh Math. Soc. 54 (2011), 345–361.
[5] T. He, Y. Lu, Y. Lei, and F. Yang, Nontrivial Periodic Solutions for Nonlinear Second-Order
Difference Equations, Discrete Dynamics in Nature and Society (2011) Article ID 153082, 14 pages.
[6] J. R. Graef and L. Kong, Existence results for nonlinear periodic boundary value problems,
Proc. Edinburgh Math. Soc. 52 (2009), 79–95.
[7] J. R. Graef, L. Kong, and H. Wang, Existence, multiplicity, and dependence on a parameter
for a periodic boundary value problem, J. Differential Equations 245 (2008), 1185–1197.
[8] J. R. Graef, L. Kong, M. Wang, and B. Yang, Uniqueness and parameter dependence of positive
solutions of a discrete fourth order problem, J. Difference Equ. Appl. 19 (2013), 1133–1146.
[9] L. Kong, Second order singular boundary value problems with integral boundary conditions,
Nonlinear Anal. 72 (2010), 2628–2638.
[10] Q. Kong and M. Wang, Eigenvalue approach to even order system periodic boundary value
problems, Canad. Math. Bull. 56 (2013), 102–115.
[11] Q. Kong and M. Wang, Positive solutions of even order system periodic boundary value problems,
Nonlinear Anal. 72 (2010), 1778–1791.
[12] R. Ma, Y. Lu and T. Chen, Existence of one-signed solutions of discrete second-order periodic
boundary value problems, Abstract and Applied Analysis. (2012) Article ID 437912, 13 pages.
[13] R. Ma and H. Ma, Positive solutions for nonlinear discrete periodic boundary value problems,
Computers & Mathematics with Applications 59 (2010), 136–141.
[14] H. Xu, New fixed point theorems of mixed monotone operators and applications to singular
boundary value problems on time scales, Boundary Value Problems 2011 Article ID 567054,
14 pages.
[15] C. Yuan, D. Jiang, and Y. Zhang, Existence and uniqueness of solutions for singular higher order
continuous and discrete boundary value problems, Boundary Value Problems 2008 Article
ID 123823, 11 pages.
[16] C. Zhai and L. Zhang, New fixed point theorems for mixed monotone operators and local
existence-uniqueness of positive solutions for nonlinear boundary value problems, J. Math.
Anal. Appl. 382 (2011), 594–614.