Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant Delays
Using inequality techniques and coincidence degree theory, new results are provided concerning the existence and uniqueness of periodic solutions for the Duffing type p-Laplacian equation with multiple constant delays of the form (φp(x′(t)))′+Cx′(t)+g0(t,x(t))+∑k=1ngk(t,x(t-τk))=e(t). Moreover, an e...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/760918 |
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| _version_ | 1832551992923258880 |
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| author | Hong Zhang Junxia Meng |
| author_facet | Hong Zhang Junxia Meng |
| author_sort | Hong Zhang |
| collection | DOAJ |
| description | Using inequality techniques and coincidence degree theory, new results are provided concerning the existence and uniqueness of periodic solutions for the Duffing type p-Laplacian equation with multiple constant delays of the form (φp(x′(t)))′+Cx′(t)+g0(t,x(t))+∑k=1ngk(t,x(t-τk))=e(t). Moreover, an example is provided to illustrate the effectiveness of the results in this paper. |
| format | Article |
| id | doaj-art-0a40b1c693c445d2aeaefe4c858b486d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0a40b1c693c445d2aeaefe4c858b486d2025-02-03T05:59:46ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/760918760918Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant DelaysHong Zhang0Junxia Meng1College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, Hunan 415000, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, ChinaUsing inequality techniques and coincidence degree theory, new results are provided concerning the existence and uniqueness of periodic solutions for the Duffing type p-Laplacian equation with multiple constant delays of the form (φp(x′(t)))′+Cx′(t)+g0(t,x(t))+∑k=1ngk(t,x(t-τk))=e(t). Moreover, an example is provided to illustrate the effectiveness of the results in this paper.http://dx.doi.org/10.1155/2012/760918 |
| spellingShingle | Hong Zhang Junxia Meng Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant Delays Abstract and Applied Analysis |
| title | Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant Delays |
| title_full | Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant Delays |
| title_fullStr | Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant Delays |
| title_full_unstemmed | Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant Delays |
| title_short | Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant Delays |
| title_sort | periodic solutions for duffing type p laplacian equation with multiple constant delays |
| url | http://dx.doi.org/10.1155/2012/760918 |
| work_keys_str_mv | AT hongzhang periodicsolutionsforduffingtypeplaplacianequationwithmultipleconstantdelays AT junxiameng periodicsolutionsforduffingtypeplaplacianequationwithmultipleconstantdelays |