Devi, DarshanaChutia, DurantaHaloi, Rajib2022-10-072022-10-072020-12-10Devi, D., Chutia, D., & Haloi, R. (2020). Rothe's method for solving semi-linear differential equations with deviating arguments. <i>Electronic Journal of Differential Equations, 2020</i>(120), pp. 1-10.,1072-6691https://hdl.handle.net/10877/16200We 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalStrong solutionDeviating argumentSemigroup of bounded linear operatorsSemidiscretization methodArticle