Interval Analytic Method in Existence Result for Hyperbolic Partial Differential Equation ()
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.
Share and Cite:
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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