Some results on an advanced impulsive differential equation with piecewise constant argument
| dc.authorid | 0000-0002-4460-2615 | en_US |
| dc.contributor.author | Öğün, Arzu | |
| dc.contributor.author | Seyhan, Gizem | |
| dc.contributor.author | Bereketoğlu, Hüseyin | |
| dc.date.accessioned | 2024-07-12T20:51:16Z | |
| dc.date.available | 2024-07-12T20:51:16Z | |
| dc.date.issued | 2009 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In this paper, we consider the following first order advanced impulsive differential equation with piecewise constant argument x 0 (t) + a(t)x(t) + b(t)x([t + 1]) = 0 t 6= n (1) ?x(n) = dnx(n) n ? N = {0, 1, 2, ...}, (2) and the initial condition x(0) = x0 (3) where a, b : [0, ?) ? R are continuous functions, dn : N ? R , ?x(n) = x(n +) ? x(n ?), x(n +) = limt?n+ x(n), x(n ?) = limt?n? x(n), and [.] denotes the greatest integer function. Throughout this paper it is assumed that the solution x(t) is right continuous at [t], t ? [0, ?). We established the exact solution of (1)-(3) on the interval [0, ?) and we study the existence of oscillatory and periodic solutions of the same equation. | en_US |
| dc.identifier.citation | Öğün, A., Seyhan, G. ve Bereketoğlu, H. (2009). Some results on an advanced impulsive differential equation with piecewise constant argument. Maltepe Üniversitesi. s. 113. | en_US |
| dc.identifier.endpage | 114 | en_US |
| dc.identifier.isbn | 9.78605E+12 | |
| dc.identifier.startpage | 113 | en_US |
| dc.identifier.uri | https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=331 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2390 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07755 | |
| dc.title | Some results on an advanced impulsive differential equation with piecewise constant argument | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
