Nonuniform Continuity of the Osmosis K(2, 2) Equation
The qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. The parametric conditions of existence of the smooth periodic travelling wave solutions are given. We show that the solution map is not uniformly continuous by using the theory of Himonas and Misiolek. The p...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/717042 |
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| _version_ | 1832550333726851072 |
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| author | Aiyong Chen Yong Ding Wentao Huang |
| author_facet | Aiyong Chen Yong Ding Wentao Huang |
| author_sort | Aiyong Chen |
| collection | DOAJ |
| description | The qualitative theory of differential equations is applied to the osmosis K(2, 2)
equation. The parametric conditions of existence of the smooth periodic travelling
wave solutions are given. We show that the solution map is not uniformly
continuous by using the theory of Himonas and Misiolek. The proof relies on a
construction of smooth periodic travelling waves with small amplitude. |
| format | Article |
| id | doaj-art-17bbad8885bd4cafb1b9e6acc5540b69 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-17bbad8885bd4cafb1b9e6acc5540b692025-02-03T06:07:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/717042717042Nonuniform Continuity of the Osmosis K(2, 2) EquationAiyong Chen0Yong Ding1Wentao Huang2Guangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaDepartment of Mathematics, Hezhou University, Hezhou, Guangxi 542800, ChinaThe qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. The parametric conditions of existence of the smooth periodic travelling wave solutions are given. We show that the solution map is not uniformly continuous by using the theory of Himonas and Misiolek. The proof relies on a construction of smooth periodic travelling waves with small amplitude.http://dx.doi.org/10.1155/2013/717042 |
| spellingShingle | Aiyong Chen Yong Ding Wentao Huang Nonuniform Continuity of the Osmosis K(2, 2) Equation Abstract and Applied Analysis |
| title | Nonuniform Continuity of the Osmosis K(2, 2) Equation |
| title_full | Nonuniform Continuity of the Osmosis K(2, 2) Equation |
| title_fullStr | Nonuniform Continuity of the Osmosis K(2, 2) Equation |
| title_full_unstemmed | Nonuniform Continuity of the Osmosis K(2, 2) Equation |
| title_short | Nonuniform Continuity of the Osmosis K(2, 2) Equation |
| title_sort | nonuniform continuity of the osmosis k 2 2 equation |
| url | http://dx.doi.org/10.1155/2013/717042 |
| work_keys_str_mv | AT aiyongchen nonuniformcontinuityoftheosmosisk22equation AT yongding nonuniformcontinuityoftheosmosisk22equation AT wentaohuang nonuniformcontinuityoftheosmosisk22equation |