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Interval analytic method in existence result for hyperbolic partial differential equation
Without the usual assumption of monotonicity, we establish some results on the theory of hyperbolic differential inequalities which enable us to produce a majorising interval function for the solution of the hyperbolic initial value problem. Using this function, a variation of parameters formula and...
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2014-04
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8099 | ||
| 042 | |a dc | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2014-04 | ||
| 520 | |a Without the usual assumption of monotonicity, we establish some results on the theory of hyperbolic differential inequalities which enable us to produce a majorising interval function for the solution of the hyperbolic initial value problem. Using this function, a variation of parameters formula and interval iterative technique, the existence of solution to the problem is established. | ||
| 024 | 8 | |a 2160-0384 | |
| 024 | 8 | |a ui_art_arawomo_interval_2014 | |
| 024 | 8 | |a Advances in Pure Mathematics 4, pp. 147-155 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8099 | |
| 653 | |a Interval Functions | ||
| 653 | |a Interval Majorant | ||
| 653 | |a Interval Extension | ||
| 653 | |a Interval Operator | ||
| 653 | |a Nested Sequence | ||
| 245 | 0 | 0 | |a Interval analytic method in existence result for hyperbolic partial differential equation |