ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER <i>P</i>-LAPLACIAN BEAM EQUATION

Zhanbing Bai; Zengji Du; Shuo Zhang

doi:10.11948/2156-907X.20180276

2019 Volume 9 Issue 4

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Zhanbing Bai, Zengji Du, Shuo Zhang. ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER P-LAPLACIAN BEAM EQUATION[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1443-1453. doi: 10.11948/2156-907X.20180276

Citation:

Zhanbing Bai, Zengji Du, Shuo Zhang. ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER P-LAPLACIAN BEAM EQUATION[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1443-1453. doi: 10.11948/2156-907X.20180276

ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER P-LAPLACIAN BEAM EQUATION

1.
School of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China
2.
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China
3.
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China

Corresponding author: Email address:zhanbingbai@163.com (Z. Bai)
Fund Project: The authors were supported by National Natural Science Foundation of China (11571207), National Science Foundation of Shandong (ZR2018MA011) and the Taishan Scholar project

Abstract

Abstract

This paper considers the existence of the solutions for a class of fourth-order p-Laplacian. The boundary value problem considered can describe the tiny deformation of an elastic beam. By using a novel efficient iteration method, the existence and uniqueness result of solution for the problem is obtained. An example is given to illustrate the main results.
- Fourth-order p-Laplacian /
- uniqueness /
- iterative method
MSC: 34B15, 34B18

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References

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