On a mild solution of a semilinear functional-differential evolution nonlocal problem
| dc.contributor.author | Akca, Haydar | |
| dc.contributor.author | Ludwik Byszewski | |
| dc.date.accessioned | 2022-01-05T12:50:58Z | |
| dc.date.accessioned | 2023-08-19T09:16:15Z | |
| dc.date.available | 2022-01-05T12:50:58Z | |
| dc.date.available | 2023-08-19T09:16:15Z | |
| dc.date.issued | 1997-05 | |
| dc.description | In this paper we study the existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear functional-differential evolution equation. Methods of functional analysis concerning a CO semigroup of operators and the Banach theorem about the fixed point are applied. The nonlocal Cauchy problem considered here is of the form: u’(t) + Au(t) f(t, ut) t e [0, a], | en_US |
| dc.description.abstract | The existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear functional-differential evolution equation in a general Banach space are studied. Methods of a Co semigroup of operators and the Banach contraction theorem are applied. The result obtained herein is a generalization and continuation of those reported in references [2-8]. | en_US |
| dc.identifier.citation | Byszewski, L., & Akca, H. (1997). On a mild solution of a semilinear functional-differential evolution nonlocal problem. Journal of Applied Mathematics and Stochastic Analysis, 10(3), 265-271. | en_US |
| dc.identifier.uri | https://edms.wexl.in/handle/1/2126 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Hindawi | en_US |
| dc.subject | unctional-Differential Equation | en_US |
| dc.subject | Nonlocal Condition | en_US |
| dc.subject | Mild Solution | en_US |
| dc.subject | Existence and Uniqueness of the Solution | en_US |
| dc.subject | Continuous Dependence of the Solution | en_US |
| dc.title | On a mild solution of a semilinear functional-differential evolution nonlocal problem | en_US |
| dc.title.alternative | Journal of Applied Mathematics and Stochastic Analysis, | en_US |
| dc.type | Article | en_US |