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An interval analytic method in constructive existence theorems for initial value problems
The method of interval analysis is employed to show that the solution, if it exists, of a first order initial value problem is majorised by an interval function whose end- functions satisfy some prescribed conditions. An interval operator is constructed and shown to be a contraction on the majorisin...
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| Format: | Article |
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| Published: |
2002
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8083 | ||
| 042 | |a dc | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 720 | |a Akinyele, O. |e author | ||
| 260 | |c 2002 | ||
| 520 | |a The method of interval analysis is employed to show that the solution, if it exists, of a first order initial value problem is majorised by an interval function whose end- functions satisfy some prescribed conditions. An interval operator is constructed and shown to be a contraction on the majorising interval function. Using this operator, the existence and uniqueness of the solution is established. | ||
| 024 | 8 | |a 1056-2176 | |
| 024 | 8 | |a ui_art_arawomo_interval_2002 | |
| 024 | 8 | |a Dynamic Systems and Applications 11, pp. 545-556 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8083 | |
| 245 | 0 | 0 | |a An interval analytic method in constructive existence theorems for initial value problems |