Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem

Xia Liu; Yuanbiao Zhang; Haiping Shi

Research Article

Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem

Year 2015, Volume: 44 Issue: 4, 855 - 866, 01.08.2015

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.

Keywords

Existence and nonexistence , Dirichlet boundary value problem , Fourth-order , Mountain Pass Lemma , Discrete variational theory

References

.

Year 2015, Volume: 44 Issue: 4, 855 - 866, 01.08.2015

Xia Liu , Yuanbiao Zhang Haiping Shi

Abstract

References

.

There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Xia Liu Yuanbiao Zhang This is me Haiping Shi This is me
Publication Date	August 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 4

Cite

APA	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.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 [Internet]. 2015 Aug. 1;44(4):855-66. Available from: https://izlik.org/JA76XR66ZL