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  

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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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