Interval Analytic Method in Existence Result for Hyperbolic Partial Differential Equation

DOI: 10.4236/apm.2014.44020   PDF   HTML   XML   2,268 Downloads   3,590 Views  


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.

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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.

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The authors declare no conflicts of interest.


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