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Interval Analytic Method in Existence Result for Hyperbolic Partial Differential Equation
Department of Mathematics, University of Ibadan, Ibadan, Nigeria
- 1 Department of Mathematics, University of Ibadan, Ibadan, Nigeria
Advances in Pure Mathematics·Volume 04 (2014)·Pages 147–155·Published 9 April 2014·DOI10.4236/apm.2014.44020
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Abstract
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.
KeywordsInterval FunctionsInterval MajorantInterval ExtensionInterval OperatorNested Sequence
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