TITLE:
Interval Analytic Method in Existence Result for Hyperbolic Partial Differential Equation
AUTHORS:
Peter O. Arawomo
KEYWORDS:
Interval Functions, Interval Majorant, Interval Extension, Interval Operator, Nested Sequence
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.4,
April
23,
2014
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.