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	Mathematics
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.
AMA	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. August 2015;44(4):855-866.
Chicago	Liu, Xia, Yuanbiao Zhang, and Haiping Shi. “Existence and Nonexistence Results for a Fourth-Order Discrete Dirichlet Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics 44, no. 4 (August 2015): 855-66.
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	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, 2015.
ISNAD	Liu, Xia et al. “Existence and Nonexistence Results for a Fourth-Order Discrete Dirichlet Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 2015), 855-866.
JAMA	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, 2015, pp. 855-66.
Vancouver	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):855-66.