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Rothe's method for solving semi-linear differential equations with deviating arguments

Rothe's method for solving semi-linear differential equations with deviating arguments

We consider a semi-linear differential equation of parabolic type with deviating arguments in a Banach space with uniformly convex dual, and apply Rothe's method to establish the existence and uniqueness of a strong solution. We also include an example as an application of the main result.
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