APM  Vol.4 No.4 , April 2014
Interval Analytic Method in Existence Result for Hyperbolic Partial Differential Equation
Author(s) Peter O. Arawomo*
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.


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.
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