Existence of solutions of a semilinear functional-differential evolution nonlocal problem
| dc.contributor.author | Akca, Haydar | |
| dc.contributor.author | Byszewski, L | |
| dc.date.accessioned | 2022-01-05T12:00:53Z | |
| dc.date.accessioned | 2023-08-19T09:16:16Z | |
| dc.date.available | 2022-01-05T12:00:53Z | |
| dc.date.available | 2023-08-19T09:16:16Z | |
| dc.date.issued | 1997-06 | |
| dc.description | Theorems about the existence, uniqueness and stability of solutions of di erential and functional-di erential abstract evolution Cauchy problems were studied previously by Byszewski and Lakshmikantham [3], by Byszewski [4–9], by Balachandran and Chandrasekaran [2], and by Lin and Liu [10] | en_US |
| dc.description.abstract | In this paper we study the existence of mild and classical solutions of a nonlocal Cauchy problem for a semilinear functional-differential evolution equation. Methods of the functional analysis concerning to a compact C0 semigroup of operators and Schauder's fixed point theorem are applied. The nonlocal Cauchy problem considered here is of the following form: u (t)+ Au (t)= f (t; u (t); u (b1 (t));:::; u (bm (t))); t∈(t0; t0+ a]; m∈ N;(1.1) u (t0)+ g (u)= u0;(1.2) where t0≥ 0, a¿ 0,− A is the infinitesimal generator of a compact C0 semigroup of operators | en_US |
| dc.identifier.citation | Byszewski, L., & Akca, H. (1998). Existence of solutions of a semilinear functional-differential evolution nonlocal problem. Nonlinear Analysis: Theory, Methods & Applications, 34(1), 65-72. | en_US |
| dc.identifier.uri | https://edms.wexl.in/handle/1/2121 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | PERGAMON | en_US |
| dc.title | Existence of solutions of a semilinear functional-differential evolution nonlocal problem | en_US |
| dc.title.alternative | Nonlinear Analysis: Theory, Methods & Applications, | en_US |
| dc.type | Article | en_US |