On the powers of quasihomogeneous Toeplitz operators
In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem under consideration is governed by a general type equation that contains no...
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| Other Authors: | , |
| Format: | article |
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2021
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| Online Access: | http://hdl.handle.net/11073/25077 |
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| _version_ | 1864513444211851264 |
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| author | Aissa, Bouhali |
| author2 | Zohra, Bendaoud Louhichi, Issam |
| author2_role | author author |
| author_facet | Aissa, Bouhali Zohra, Bendaoud Louhichi, Issam |
| author_role | author |
| dc.creator.none.fl_str_mv | Aissa, Bouhali Zohra, Bendaoud Louhichi, Issam |
| dc.date.none.fl_str_mv | 2021 2022-11-28T12:51:09Z 2022-11-28T12:51:09Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Bouhali, A., Bendaoud, Z. & Louhichi, I. On the powers of quasihomogeneous Toeplitz operators. Czechoslovak Mathematical Journal, 71, 1049–1061 (2021). https://doi.org/10.21136/CMJ.2021.0193-20 1572-9141 http://hdl.handle.net/11073/25077 10.21136/CMJ.2021.0193-20 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Springer |
| dc.relation.none.fl_str_mv | https://doi.org/10.21136/CMJ.2021.0193-20 |
| dc.subject.none.fl_str_mv | Quasihomogeneous Toeplitz operator Mellin transform |
| dc.title.none.fl_str_mv | On the powers of quasihomogeneous Toeplitz operators |
| dc.type.none.fl_str_mv | Peer-Reviewed Postprint info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem under consideration is governed by a general type equation that contains nonlinear forces and integro-differential terms. The equation, we adopted and which governs the nano-actuators, is a nonlinear integro-differential BVP of fourth order. Our scheme enjoys important features such as high accuracy, robustness, and fast convergence. Numerical tests are performed and compared with other results that exist in the current literature. |
| format | article |
| id | aus_abfe55079c06bc850be30ec7f9402f11 |
| identifier_str_mv | Bouhali, A., Bendaoud, Z. & Louhichi, I. On the powers of quasihomogeneous Toeplitz operators. Czechoslovak Mathematical Journal, 71, 1049–1061 (2021). https://doi.org/10.21136/CMJ.2021.0193-20 1572-9141 10.21136/CMJ.2021.0193-20 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/25077 |
| publishDate | 2021 |
| publisher.none.fl_str_mv | Springer |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | On the powers of quasihomogeneous Toeplitz operatorsAissa, BouhaliZohra, BendaoudLouhichi, IssamQuasihomogeneous Toeplitz operatorMellin transformIn this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem under consideration is governed by a general type equation that contains nonlinear forces and integro-differential terms. The equation, we adopted and which governs the nano-actuators, is a nonlinear integro-differential BVP of fourth order. Our scheme enjoys important features such as high accuracy, robustness, and fast convergence. Numerical tests are performed and compared with other results that exist in the current literature.Springer2022-11-28T12:51:09Z2022-11-28T12:51:09Z2021Peer-ReviewedPostprintinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBouhali, A., Bendaoud, Z. & Louhichi, I. On the powers of quasihomogeneous Toeplitz operators. Czechoslovak Mathematical Journal, 71, 1049–1061 (2021). https://doi.org/10.21136/CMJ.2021.0193-201572-9141http://hdl.handle.net/11073/2507710.21136/CMJ.2021.0193-20en_UShttps://doi.org/10.21136/CMJ.2021.0193-20oai:repository.aus.edu:11073/250772024-08-22T12:02:14Z |
| spellingShingle | On the powers of quasihomogeneous Toeplitz operators Aissa, Bouhali Quasihomogeneous Toeplitz operator Mellin transform |
| status_str | publishedVersion |
| title | On the powers of quasihomogeneous Toeplitz operators |
| title_full | On the powers of quasihomogeneous Toeplitz operators |
| title_fullStr | On the powers of quasihomogeneous Toeplitz operators |
| title_full_unstemmed | On the powers of quasihomogeneous Toeplitz operators |
| title_short | On the powers of quasihomogeneous Toeplitz operators |
| title_sort | On the powers of quasihomogeneous Toeplitz operators |
| topic | Quasihomogeneous Toeplitz operator Mellin transform |
| url | http://hdl.handle.net/11073/25077 |