Interval Analytic Method in Existence Result for Hyperbolic Partial Differential Equation

Peter O. Arawomo^{*}

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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.

References

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