Rothe's method for solving semi-linear differential equations with deviating arguments
dc.contributor.author | Devi, Darshana | |
dc.contributor.author | Chutia, Duranta | |
dc.contributor.author | Haloi, Rajib | |
dc.date.accessioned | 2022-10-07T19:10:42Z | |
dc.date.available | 2022-10-07T19:10:42Z | |
dc.date.issued | 2020-12-10 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.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., | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16200 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Strong solution | |
dc.subject | Deviating argument | |
dc.subject | Semigroup of bounded linear operators | |
dc.subject | Semidiscretization method | |
dc.title | Rothe's method for solving semi-linear differential equations with deviating arguments | |
dc.type | Article |