Interval Analytic Method in Existence Result for Hyperbolic Partial Differential EquationReport as inadecuate




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Withoutthe usual assumption of monotonicity, we establish some results on the theoryof hyperbolic differential inequalities which enable us to produce a majorisinginterval function for the solution of the hyperbolic initial value problem.Using this function, a variation of parameters formula and interval iterativetechnique, the existence of solution to the problem is established.

KEYWORDS

Interval Functions, Interval Majorant, Interval Extension, Interval Operator, Nested Sequence

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.





Author: Peter O. Arawomo

Source: http://www.scirp.org/



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