SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS

Volume: 8 Number: 1 June 1, 2018
  • - Z.yücedağ
EN

SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS

Abstract

In this paper, Mountain Pass theorem is applied together with Ekeland variational principle, and we show the existence of nontrivial solutions for a discrete boundary value problem of p k -Kirchho -type in a nite dimensional Hilbert space.

Keywords

References

  1. [1] Agarwal, R. P., Perera, K. and O’Regan, D., (2005), Multiple positive solutions of singular discrete p−Laplacian problems via variational methods, Adv. Diff. Equ. 2, pp. 93–99.
  2. [2] Moghadam, M.Khaleghi and Avci, M., (2017), Existence results to a nonlinear p(k)-Laplacian difference equation, Journal of Difference Equations and Appl.https://doi.org/10.1080/10236198.2017.1354991.
  3. [3] Avci, M., (2017), On a nonlocal Neumann problem in Orlicz-Sobolev spaces, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 42, 1-11.
  4. [4] Avci, M., (2016), Existence results for anisotropic discrete boundary value problems, Electron. J. Differ. Equ. 148, pp. 1-11.
  5. [5] Avci, M. and Pankov, A., (2015), Nontrivial solutions of discrete nonlinear equations with variable exponent, J.Math.Anal.Appl. 431, pp. 22-33.
  6. [6] Cabada, A., Lannizzotto A. and Tersian, S., (2009), Multiple solutions for discrete boundary value problems, J. Math. Anal. Appl. 356, pp. 418-428.
  7. [7] Cai, X. and Yu, J., (2006), Existence theorems for second-order discrete boundary value problems, J. Math. Anal. Appl. 320, pp. 649–661.
  8. [8] Candito, P. and Giovannelli, N., (2008), Multiple solutions for a discrete boundary value problem involving the p−Laplacian, Comput. Math. Appl. 56, pp. 959-964.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

- Z.yücedağ This is me

Publication Date

June 1, 2018

Submission Date

-

Acceptance Date

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Published in Issue

Year 2018 Volume: 8 Number: 1

APA
Z.yücedağ, -. (2018). SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS. TWMS Journal of Applied and Engineering Mathematics, 8(1), 144-154. https://izlik.org/JA36NP34TN
AMA
1.Z.yücedağ. SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS. JAEM. 2018;8(1):144-154. https://izlik.org/JA36NP34TN
Chicago
Z.yücedağ, -. 2018. “SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS”. TWMS Journal of Applied and Engineering Mathematics 8 (1): 144-54. https://izlik.org/JA36NP34TN.
EndNote
Z.yücedağ - (June 1, 2018) SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS. TWMS Journal of Applied and Engineering Mathematics 8 1 144–154.
IEEE
[1]- Z.yücedağ, “SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS”, JAEM, vol. 8, no. 1, pp. 144–154, June 2018, [Online]. Available: https://izlik.org/JA36NP34TN
ISNAD
Z.yücedağ, -. “SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS”. TWMS Journal of Applied and Engineering Mathematics 8/1 (June 1, 2018): 144-154. https://izlik.org/JA36NP34TN.
JAMA
1.Z.yücedağ -. SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS. JAEM. 2018;8:144–154.
MLA
Z.yücedağ, -. “SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS”. TWMS Journal of Applied and Engineering Mathematics, vol. 8, no. 1, June 2018, pp. 144-5, https://izlik.org/JA36NP34TN.
Vancouver
1.- Z.yücedağ. SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS. JAEM [Internet]. 2018 Jun. 1;8(1):144-5. Available from: https://izlik.org/JA36NP34TN