Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces
| dc.contributor.author | Balachandran, Krishnan | |
| dc.contributor.author | Karunanithi, Subbarayan | |
| dc.date.accessioned | 2021-01-28T20:48:26Z | |
| dc.date.available | 2021-01-28T20:48:26Z | |
| dc.date.issued | 2003-11-20 | |
| dc.description.abstract | In this article, we prove the existence of mild and classical solutions of Sobolev type semilinear integrodifferential equations of the form d/dt [Ex(t) = A[x(t) + ∫t0 F(t - s)x(s)ds] + ƒ(t, x(t)) in Banach spaces. The results are obtained by using the Banach contraction mapping principle and resolvent operator. An application is provided to illustrate the theory. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Balachandran, K., & Karunanithi, S. (2003). Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces. <i>Electronic Journal of Differential Equations, 2003</i>(114), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13165 | |
| dc.language.iso | en | |
| dc.publisher | Southwest 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Classical solution | |
| dc.subject | Semilinear integrodifferential equation | |
| dc.subject | Resolvent operator | |
| dc.subject | Fixed point theorem | |
| dc.title | Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces | |
| dc.type | Article |