Existence of Extremal Solutions of Differential Equations with Delay in Banach Spaces
| dc.contributor.author | Jinjun Fan | |
| dc.contributor.author | Xiaodi Li | |
| dc.contributor.author | Akca, Haydar | |
| dc.date.accessioned | 2022-01-06T07:40:09Z | |
| dc.date.accessioned | 2023-08-19T09:16:08Z | |
| dc.date.available | 2022-01-06T07:40:09Z | |
| dc.date.available | 2023-08-19T09:16:08Z | |
| dc.date.issued | 2015-03 | |
| dc.description | Delay differential equations have been the important topic of research in recent years and many problems of fields of science and technology can be converted into the problems of delay differential equations. The existence of solutions of delay differential equations in a Banach space have been studied by many authors (see [1-7]). In this paper, we consider the following initial value problem of delay differential equation | en_US |
| dc.description.abstract | : In this paper, by using the monotone iterative method and Daher's fixed point theorem and an inequality of noncompact measure of Monch and Von Harten, we study the existence of maximum solution and minimal solution and the iterative approximation of the following initial value problem for O.D.E with delay in Banach spaces u’ = f(t, u(t), ut), ut0 = ψ0 and give a sufficient condition of the existence of solutions of the above problem. The obtained results improve and generalize the corresponding results | en_US |
| dc.identifier.citation | Fan, J., Li, X., & Akca, H. (2015). Existence of Extremal Solutions of Differential Equations with Delay in Banach Spaces. International Journal of Applied Physics and Mathematics, 5(2), 115. | en_US |
| dc.identifier.doi | 10.17706/ijapm.2015.5.2.115-125 | |
| dc.identifier.uri | https://edms.wexl.in/handle/1/2139 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Banach space | en_US |
| dc.subject | Measure of noncompactness | en_US |
| dc.subject | Differential equation | en_US |
| dc.subject | Normal cone | en_US |
| dc.title | Existence of Extremal Solutions of Differential Equations with Delay in Banach Spaces | en_US |
| dc.title.alternative | International Journal of Applied Physics and Mathematics | en_US |
| dc.type | Article | en_US |