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A Cauchy Problem For A Class Of Quasi-Linear Hyperbolic Second Order Partial Differential Equation (PDE) In A Banach Space.

Volume 4 - Issue 2, February 2020 Edition
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Author(s)
O. Echude, M. T. Y. Kadzai, B. Balarabe, H. Mohammed
Keywords
Accretive, Cauchy Problem, Quasi-linear PDE, Banach Space
Abstract
A class of quasi-linear hyperbolic second order partial differential equation (PDE) in a Banach space was investigated using some fundamental result established by Browder and Egwurube. The quasi-linear hyperbolic second order partial differential equation was converted to Cauchy-like equation, than show that the operator A is accretive, M-accretive and thus admits a solution.
References
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