Existence and uniqueness of mild and classical solutions of impulsive evolution equations
| dc.contributor.author | Anguraj, Annamalai | |
| dc.contributor.author | Arjunan, Mani Mallika | |
| dc.date.accessioned | 2021-06-22T15:47:41Z | |
| dc.date.available | 2021-06-22T15:47:41Z | |
| dc.date.issued | 2005-10-17 | |
| dc.description.abstract | We consider the non-linear impulsive evolution equation u'(t) = Au(t) + ƒ(t, u(t), Tu(t), Su(t)), 0 < t < T0, t ≠ ti, u(0) = u0, ∆u(ti) = Ii(u(ti)), i = 1, 2, 3,..., p. in a Banach space X, where A is the infinitesimal generator of a C0 semigroup. We study the existence and uniqueness of the mild solutions of the evolution equation by using semigroup theory and then show that the mild solutions give rise to a classical solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Anguraj, A., & Arjunan, M. M. (2005). Existence and uniqueness of mild and classical solutions of impulsive evolution equations. <i>Electronic Journal of Differential Equations, 2005</i>(111), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13783 | |
| 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 | Semigroups | |
| dc.subject | Evolution equations | |
| dc.subject | Impulsive conditions | |
| dc.title | Existence and uniqueness of mild and classical solutions of impulsive evolution equations | |
| dc.type | Article |