Continuous selections of set of mild solutions of evolution inclusions
| dc.contributor.author | Anguraj, Annamalai | |
| dc.contributor.author | Murugesan, Chinnagounder | |
| dc.date.accessioned | 2021-05-18T18:54:46Z | |
| dc.date.available | 2021-05-18T18:54:46Z | |
| dc.date.issued | 2005-02-11 | |
| dc.description.abstract | We prove the existence of continuous selections of the set valued map ξ → S(ξ) where S(ξ) is the set of all mild solutions of the evolution inclusions of the form ẋ(t) ∈ A(t)x(t) + ∫t0 K(t, s) F(s, x(s))ds x(0) = ξ, t ∈ I = [0, T], where F is a lower semi continuous set valued map Lipchitzean with respect to x in a separate Banach space X, A is the infinitesimal generator of a C0-semi group of bounded linear operators from X to X, and K(t, s) is a continuous real valued function defined on I x I with t ≥ s for all t, s ∈ I and ξ ∈ X. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Anguraj, A., & Murugesan, C. (2005). Continuous selections of set of mild solutions of evolution inclusions. <i>Electronic Journal of Differential Equations, 2005</i>(21), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13592 | |
| 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Mild solutions | |
| dc.subject | Differential inclusions | |
| dc.subject | Integrodifferential inclusions | |
| dc.title | Continuous selections of set of mild solutions of evolution inclusions | en_US |
| dc.type | Article |