A nonlinear neutral periodic differential equation
In this article we consider the existence, uniqueness and positivity of a first order non-linear periodic differential equation. The main tool employed is the Krasnosel'skii's fixed point theorem for the sum of a completely continuous operator and a contraction.
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| Format: | Article |
| Language: | English |
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Texas State University
2010-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/88/abstr.html |
| _version_ | 1811319250684477440 |
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| author | Eric R. Kaufmann |
| author_facet | Eric R. Kaufmann |
| author_sort | Eric R. Kaufmann |
| collection | DOAJ |
| description | In this article we consider the existence, uniqueness and positivity of a first order non-linear periodic differential equation. The main tool employed is the Krasnosel'skii's fixed point theorem for the sum of a completely continuous operator and a contraction. |
| first_indexed | 2024-04-13T12:39:29Z |
| format | Article |
| id | doaj.art-e13303707eee4c17955c244f5f4c7f09 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T12:39:29Z |
| publishDate | 2010-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e13303707eee4c17955c244f5f4c7f092022-12-22T02:46:33ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-06-01201088,18A nonlinear neutral periodic differential equationEric R. KaufmannIn this article we consider the existence, uniqueness and positivity of a first order non-linear periodic differential equation. The main tool employed is the Krasnosel'skii's fixed point theorem for the sum of a completely continuous operator and a contraction.http://ejde.math.txstate.edu/Volumes/2010/88/abstr.htmlFixed point theorynonlinear dynamic equationperiodic |
| spellingShingle | Eric R. Kaufmann A nonlinear neutral periodic differential equation Electronic Journal of Differential Equations Fixed point theory nonlinear dynamic equation periodic |
| title | A nonlinear neutral periodic differential equation |
| title_full | A nonlinear neutral periodic differential equation |
| title_fullStr | A nonlinear neutral periodic differential equation |
| title_full_unstemmed | A nonlinear neutral periodic differential equation |
| title_short | A nonlinear neutral periodic differential equation |
| title_sort | nonlinear neutral periodic differential equation |
| topic | Fixed point theory nonlinear dynamic equation periodic |
| url | http://ejde.math.txstate.edu/Volumes/2010/88/abstr.html |
| work_keys_str_mv | AT ericrkaufmann anonlinearneutralperiodicdifferentialequation AT ericrkaufmann nonlinearneutralperiodicdifferentialequation |