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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/89034/ http://psasir.upm.edu.my/id/eprint/89034/1/CUBID.pdf |
| _version_ | 1848860756744863744 |
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| author | Md. Asaduzzaman Kilicman, Adem Ali, Md. Zulfikar Sapar, Siti Hasana |
| author_facet | Md. Asaduzzaman Kilicman, Adem Ali, Md. Zulfikar Sapar, Siti Hasana |
| author_sort | Md. Asaduzzaman |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T12:50:18Z |
| format | Article |
| id | upm-89034 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:50:18Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/89034/ http://psasir.upm.edu.my/id/eprint/89034/ http://psasir.upm.edu.my/id/eprint/89034/ http://psasir.upm.edu.my/id/eprint/89034/1/CUBID.pdf |