Research Article

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

Volume: 44 Number: 4 August 1, 2015
  • Xia Liu *
  • Yuanbiao Zhang
  • Haiping Shi
EN

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. 

Keywords

References

  1. .

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Yuanbiao Zhang This is me

Haiping Shi This is me

Publication Date

August 1, 2015

Submission Date

April 12, 2013

Acceptance Date

March 27, 2014

Published in Issue

Year 2015 Volume: 44 Number: 4

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.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