Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem
Abstract
In this paper, a fourth-order nonlinear difference equation is considered.
By making use of the critical point theory, we establish various sets of
sufficient conditions for the existence and nonexistence of solutions for
Dirichlet boundary value problem and give some new results. Our
results generalize and complement the results in the literature.
Liu, X., Zhang, Y., & Shi, H. (2015). Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics, 44(4), 855-866. https://izlik.org/JA76XR66ZL
AMA
1.Liu X, Zhang Y, Shi H. Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):855-866. https://izlik.org/JA76XR66ZL
Chicago
Liu, Xia, Yuanbiao Zhang, and Haiping Shi. 2015. “Existence and Nonexistence Results for a Fourth-Order Discrete Dirichlet Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics 44 (4): 855-66. https://izlik.org/JA76XR66ZL.
EndNote
Liu X, Zhang Y, Shi H (August 1, 2015) Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics 44 4 855–866.
IEEE
[1]X. Liu, Y. Zhang, and H. Shi, “Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, pp. 855–866, Aug. 2015, [Online]. Available: https://izlik.org/JA76XR66ZL
ISNAD
Liu, Xia - Zhang, Yuanbiao - Shi, Haiping. “Existence and Nonexistence Results for a Fourth-Order Discrete Dirichlet Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 1, 2015): 855-866. https://izlik.org/JA76XR66ZL.
JAMA
1.Liu X, Zhang Y, Shi H. Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics. 2015;44:855–866.
MLA
Liu, Xia, et al. “Existence and Nonexistence Results for a Fourth-Order Discrete Dirichlet Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, Aug. 2015, pp. 855-66, https://izlik.org/JA76XR66ZL.
Vancouver
1.Xia Liu, Yuanbiao Zhang, Haiping Shi. Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Aug. 1;44(4):855-66. Available from: https://izlik.org/JA76XR66ZL