Pursuit Curves and Ordinary Differential Equations
This paper deals with the differential equations which describe curves of pursuit, in which the pursuer's velocity vector always points directly towards the pursued. We use the Laplace Transform method to solve the classic problem of four mice pursuit.
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| Format: | Article |
| Language: | English |
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University of Žilina
2012-03-01
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| Series: | Communications |
| Subjects: | |
| Online Access: | https://komunikacie.uniza.sk/artkey/csl-201201-0012_pursuit-curves-and-ordinary-differential-equations.php |
| _version_ | 1797846972346925056 |
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| author | Zuzana Malacka |
| author_facet | Zuzana Malacka |
| author_sort | Zuzana Malacka |
| collection | DOAJ |
| description | This paper deals with the differential equations which describe curves of pursuit, in which the pursuer's velocity vector always points directly towards the pursued. We use the Laplace Transform method to solve the classic problem of four mice pursuit. |
| first_indexed | 2024-04-09T18:03:36Z |
| format | Article |
| id | doaj.art-8d7183800fcd4f8fb8218561a73e268a |
| institution | Directory Open Access Journal |
| issn | 1335-4205 2585-7878 |
| language | English |
| last_indexed | 2024-04-09T18:03:36Z |
| publishDate | 2012-03-01 |
| publisher | University of Žilina |
| record_format | Article |
| series | Communications |
| spelling | doaj.art-8d7183800fcd4f8fb8218561a73e268a2023-04-14T06:30:37ZengUniversity of ŽilinaCommunications1335-42052585-78782012-03-01141666810.26552/com.C.2012.1.66-68csl-201201-0012Pursuit Curves and Ordinary Differential EquationsZuzana Malacka0Department of Mathematics, Faculty of Humanities, University of Zilina, SlovakiaThis paper deals with the differential equations which describe curves of pursuit, in which the pursuer's velocity vector always points directly towards the pursued. We use the Laplace Transform method to solve the classic problem of four mice pursuit.https://komunikacie.uniza.sk/artkey/csl-201201-0012_pursuit-curves-and-ordinary-differential-equations.phppursuit curvedifferential equationthe laplace transform method |
| spellingShingle | Zuzana Malacka Pursuit Curves and Ordinary Differential Equations Communications pursuit curve differential equation the laplace transform method |
| title | Pursuit Curves and Ordinary Differential Equations |
| title_full | Pursuit Curves and Ordinary Differential Equations |
| title_fullStr | Pursuit Curves and Ordinary Differential Equations |
| title_full_unstemmed | Pursuit Curves and Ordinary Differential Equations |
| title_short | Pursuit Curves and Ordinary Differential Equations |
| title_sort | pursuit curves and ordinary differential equations |
| topic | pursuit curve differential equation the laplace transform method |
| url | https://komunikacie.uniza.sk/artkey/csl-201201-0012_pursuit-curves-and-ordinary-differential-equations.php |
| work_keys_str_mv | AT zuzanamalacka pursuitcurvesandordinarydifferentialequations |