International Journal of Advanced Research and Publications (2456-9992)

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A Cauchy Problem For A Class Of Nonlinear Hyperbolic First Order Partial Differential Equation In A Banach Space

Volume 4 - Issue 2, February 2020 Edition
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O. Echude, B. Balarabe, H. Mohammed
Accretive, Cauchy Problem, Non-linear PDE, Hyperbolic
The ultimate work done in this research is the vast and active field of nonlinear hyperbolic first order partial differential equations. A class of nonlinear hyperbolic first order partial differential equation in a Banach space was investigated by converting it to Cauchy-like equation, than show that the operator A is accretive, M-accretive and thus admit a solution.
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