Rothe's method for solving semi-linear differential equations with deviating arguments
Texas State University, Department of Mathematics
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.
Strong solution, Deviating argument, Semigroup of bounded linear operators, Semidiscretization method
Devi, 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.,