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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Bibliographic Details
Main Authors: Darshana Devi, Duranta Chutia, Rajib Haloi
Format: Article
Language:English
Published: Texas State University 2020-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/120/abstr.html