Exact controllability of generalized Hammerstein type integral equation and applications
| dc.contributor.author | Chalishajar, Dimplekumar N. | |
| dc.contributor.author | George, Raju K. | |
| dc.date.accessioned | 2021-07-21T14:31:51Z | |
| dc.date.available | 2021-07-21T14:31:51Z | |
| dc.date.issued | 2006-11-09 | |
| dc.description.abstract | In this article, we study the exact controllability of an abstract model described by the controlled generalized Hammerstein type integral equation x(t) = ∫t0 h(t, s)u(s)ds + ∫t0k(t, s, x)ƒ(s, x(s))ds, 0 ≤ t ≤ T < ∞, where, the state x(t) lies in a Hilbert space H and control u(t) lies another Hilbert space V for each time t ∈ I = [0, T], T > 0. We establish the controllability result under suitable assumptions on h, k and ƒ using the monotone operator theory. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chalishajar, D. N., & George, R. K. (2006). Exact controllability of generalized Hammerstein type integral equation and applications. <i>Electronic Journal of Differential Equations, 2006</i>(142), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14015 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Exact controllability | |
| dc.subject | Hammerstein type integral equation | |
| dc.subject | Monotone operator | |
| dc.subject | Solution operator | |
| dc.title | Exact controllability of generalized Hammerstein type integral equation and applications | |
| dc.type | Article |