Rothe's method for solving semi-linear differential equations with deviating arguments
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Date
2020-12-10
Authors
Devi, Darshana
Chutia, Duranta
Haloi, Rajib
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Strong solution, Deviating argument, Semigroup of bounded linear operators, Semidiscretization method
Citation
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.,
Rights
Attribution 4.0 International