1 |
R. Ma and C. Gao, Bifurcation of positive solutions of a nonlinear discrete fourth-order boundary value problem, Z. Angew. Math. Phys., 64 (2013), 493-506.
DOI
|
2 |
R. Ma, C. Gao and Y. Chang, Existence of solutions of a discrete fourth-order boundary value problem, Discrete Dyn. Nat. Soc., 2010 (2010), 19 pages.
|
3 |
A.A. Mebawondu, H.A. Abass, M.O. Aibinu and O.K. Narain, Existence of solution of differential equation via fixed point in complex valued b-metric spaces, Nonlinear Funct. Anal. Appl., 26(2) (2020), 303-322.
|
4 |
M.K. Moghadam, S. Heidarkhani and J. Henderson, Infinitely many solutions for perturbed difference equations, J. Diff. Equ. Appl., 20 (2014), 1055-1068.
DOI
|
5 |
B. Ricceri, A general variational principle and some of its applications, J. Comput. Appl. Math., 133 (2000), 401-410.
DOI
|
6 |
Y. Wang, C. Gao and T. Geng, Multiplicity solutions for discrete fourth-order boundary value problem with multiple parameters, J. Nonlinear Sci., 9 (2016), 3212-3225.
DOI
|
7 |
A.H. Alkhalidi, Ghasem A. Afrouzi and Khademloo Somayeh, Variational approaches for Lagrangian discrete nonlinear systems, Mathematics, 276(7) (2019), 1-14.
|
8 |
H.M.B. Alrikabi, Ahmed A.H. Alkhalidi and A.K. Yousif, An existence result for three solutions to a Dirichlet problem with real parameter, J. Interdisciplinary Math., 24(6) (2021), 1645-1659.
DOI
|
9 |
H.M.B. Alrikabi, A.E. Hashoosh and Ahmed A.H. Alkhalidi, Existence results for nonlocal problems of (p, q)-Kirchhoff form, J. Interdisciplinary Math., 24(4) (2021), 983-993.
DOI
|
10 |
G. Bonanno and P. Candito, Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities, J. Diff. Equ., 244 (2008), 3031-3059.
DOI
|
11 |
G. Bonanno and S.A. Marano, On the structure of the critical set of non-differentiable functions with a weak compactness condition, Appl. Anal., 89 (2010), 1-10.
DOI
|
12 |
G. Bonanno and G. Molica Bisci, Infinitely many solutions for a boundary value problem with discontinuous nonlinearities, Bound. Value Prob., (2009), 20 pages.
|
13 |
X. Deng, Nonexistence and existence results for a class of fourth-order difference mixed boundary value problems, J. Appl. Math. Comput., 14 (2014), 1-14.
DOI
|
14 |
T. He and Y. Su, On discrete fourth-order boundary value problems with three parameters, J. Appl. Math. Comput. 233 (2010), 2506-2520.
DOI
|
15 |
Z. He and J. Yu, On the existence of positive solutions of fourth-order difference equations, J. Appl. Math. Comput., 161 (2005), 139-148.
DOI
|
16 |
Z. He and J. Yu, Positive solutions for nonlinear difference equations, Nonlinear Stud., 4 (1997), 29-36.
|
17 |
S.D. Kadam, R.S. Jain, B.S. Reddy and R. Menon, Existence and controllability of mild solution of impulsive integro-differential inclusions, Nonlinear Funct. Anal. Appl., 25(4) (2020), 657-670.
DOI
|
18 |
B. Khaminsou, Ch. Thaiprayoon, W. Sudsutad and S.A. Jose, Qualitative analysis of a proportional Caputo fractional Pantograph differential equation with mixed nonlocal conditions, Nonlinear Funct. Anal. Appl., 26(1) (2021), 197-223.
DOI
|
19 |
X. Liu, Y. Zhang, H. Shi and X. Deng, Periodic and subharmonic solutions for fourth-order nonlinear difference equations, J. Appl. Math. Comput., 236 (2014), 613-620.
DOI
|