UPM Institutional Repository

Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation


Citation

Md. Asaduzzaman and Kilicman, Adem and Ali, Md. Zulfikar and Sapar, Siti Hasana (2020) Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation. Mathematics, 8 (7). pp. 1-14. ISSN 2227-7390

Abstract

The purpose of this article is to establish the solvability of the 2-Dimensional dissipative cubic nonlinear Klein-Gordon equation (2DDCNLKGE) through periodic boundary value conditions (PBVCs). The analysis of this study is founded on the Galerkin’s method (GLK) and the Leray-Schauder’s fixed point theorem (LS). First, the GLK method is used to construct some uniform priori estimates of approximate solution to the corresponding equation of 2DDCNLKGE. Finally, the LS fixed point theorem is applied to obtain the efficient and straightforward existence and uniqueness criteria of time periodic solution to the 2DDCNLKGE.


Download File

[img] Text (Abstract)
CUBID.pdf

Download (78kB)
Official URL or Download Paper: https://www.mdpi.com/2227-7390/8/7/1103

Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/math8071103
Publisher: Multidisciplinary Digital Publishing Institute
Keywords: 2-Dimensional dissipative cubic nonlinear Klein-Gordon equation; Periodic solution; GLK method; LS fixed point theorem
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 30 Sep 2021 02:06
Last Modified: 30 Sep 2021 02:06
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/math8071103
URI: http://psasir.upm.edu.my/id/eprint/89034
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item