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

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...

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Main Authors: Md. Asaduzzaman, Kilicman, Adem, Ali, Md. Zulfikar, Sapar, Siti Hasana
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute 2020
Online Access:http://psasir.upm.edu.my/id/eprint/89034/1/CUBID.pdf
http://psasir.upm.edu.my/id/eprint/89034/
https://www.mdpi.com/2227-7390/8/7/1103
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spelling my.upm.eprints.890342021-09-30T02:06:09Z http://psasir.upm.edu.my/id/eprint/89034/ Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation Md. Asaduzzaman Kilicman, Adem Ali, Md. Zulfikar Sapar, Siti Hasana 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. Multidisciplinary Digital Publishing Institute 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/89034/1/CUBID.pdf 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 https://www.mdpi.com/2227-7390/8/7/1103 10.3390/math8071103
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Md. Asaduzzaman
Kilicman, Adem
Ali, Md. Zulfikar
Sapar, Siti Hasana
spellingShingle Md. Asaduzzaman
Kilicman, Adem
Ali, Md. Zulfikar
Sapar, Siti Hasana
Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation
author_facet Md. Asaduzzaman
Kilicman, Adem
Ali, Md. Zulfikar
Sapar, Siti Hasana
author_sort Md. Asaduzzaman
title Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation
title_short Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation
title_full Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation
title_fullStr Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation
title_full_unstemmed Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation
title_sort fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear klein-gordon equation
publisher Multidisciplinary Digital Publishing Institute
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/89034/1/CUBID.pdf
http://psasir.upm.edu.my/id/eprint/89034/
https://www.mdpi.com/2227-7390/8/7/1103
_version_ 1713201324394283008
score 13.209306

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