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 APM  Vol.4 No.4 , April 2014
Interval Analytic Method in Existence Result for Hyperbolic Partial Differential Equation
Peter O. Arawomo*
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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.
Keywords: Interval Functions, Interval Majorant, Interval Extension, Interval Operator, Nested Sequence
Cite this paper: Arawomo, P. (2014) Interval Analytic Method in Existence Result for Hyperbolic Partial Differential Equation. Advances in Pure Mathematics, 4, 147-155. doi: 10.4236/apm.2014.44020.
References

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