Stability analysis of linear multistep methods for delay differential equations
Stability properties of linear multistep methods for delay differential equations with respect to the test equation y′(t)=ay(λt)+by(t), t≥0,0<λ<1, are investigated. It is known that the solution of this equation is bounded if and only if |a|<−b and we examine whether this property is inhe...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000583 |
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| author | V. L. Bakke Z. Jackiewicz |
| author_facet | V. L. Bakke Z. Jackiewicz |
| author_sort | V. L. Bakke |
| collection | DOAJ |
| description | Stability properties of linear multistep methods for delay differential equations with respect to the test equation y′(t)=ay(λt)+by(t), t≥0,0<λ<1, are investigated. It is known that the solution of this equation is bounded if and only if |a|<−b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods. |
| format | Article |
| id | doaj-art-538f7ec8782e40f498c052ffe8414545 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-538f7ec8782e40f498c052ffe84145452025-02-03T01:01:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019344745810.1155/S0161171286000583Stability analysis of linear multistep methods for delay differential equationsV. L. Bakke0Z. Jackiewicz1Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR 72701, USADepartment of Mathematical Sciences, University of Arkansas, Fayetteville, AR 72701, USAStability properties of linear multistep methods for delay differential equations with respect to the test equation y′(t)=ay(λt)+by(t), t≥0,0<λ<1, are investigated. It is known that the solution of this equation is bounded if and only if |a|<−b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods.http://dx.doi.org/10.1155/S0161171286000583linear multistep methoddelay differential equationstability analysis. |
| spellingShingle | V. L. Bakke Z. Jackiewicz Stability analysis of linear multistep methods for delay differential equations International Journal of Mathematics and Mathematical Sciences linear multistep method delay differential equation stability analysis. |
| title | Stability analysis of linear multistep methods for delay differential equations |
| title_full | Stability analysis of linear multistep methods for delay differential equations |
| title_fullStr | Stability analysis of linear multistep methods for delay differential equations |
| title_full_unstemmed | Stability analysis of linear multistep methods for delay differential equations |
| title_short | Stability analysis of linear multistep methods for delay differential equations |
| title_sort | stability analysis of linear multistep methods for delay differential equations |
| topic | linear multistep method delay differential equation stability analysis. |
| url | http://dx.doi.org/10.1155/S0161171286000583 |
| work_keys_str_mv | AT vlbakke stabilityanalysisoflinearmultistepmethodsfordelaydifferentialequations AT zjackiewicz stabilityanalysisoflinearmultistepmethodsfordelaydifferentialequations |