On the existence and uniqueness of solutions of a certain class of non-linear singular integral equations
| dc.contributor.author | Düz, Murat | |
| dc.date.accessioned | 2024-09-29T16:35:13Z | |
| dc.date.available | 2024-09-29T16:35:13Z | |
| dc.date.issued | 2011 | |
| dc.department | Karabük Üniversitesi | en_US |
| dc.description.abstract | In this study, the existence of a solution of the non-linear singular integral equation system$w(z) = f1 \\biggl ( z,w(z),h(z), T_G g_1(· ,w(·), h(·))(z)$, $. \\hspace{40mm} \\Pi_Gg_1(· ,w(·), h(·))(z) \\biggr )$, $h(z) = f_2 \\biggl ( z,w(z), h(z), T_Gg_2(·,w(·), h(·))(z)$,$. \\hspace{40mm} \\Pi_Gg_2(· ,w(·), h(·))(z) \\biggr )$ , has been investigated. This system is more general than the one$w(z) = f_1 (z,w(z), h(z), T_Gg_1(· ,w(·), h(·))(z))$, $h(z) = f_2 (z,w(z), h(z),\\Pi_Gg_2(·,w(·), h(·)) (z))$,studied by Musayev and Duz (Existence and uniqueness theorems for a certain class of non linear singular integral equations SJAM 10 (1), 3– 18, 2009). Here, $T_Gf(z)$ and $\\Pi_Gf(z) are the Vekua integral operators defined by $T_Gf(z)=- \\frac{1}{\\pi} \\int_G \\int \\frac{f(\\varsigma)}{\\varsigma - z} d\\xi d\\eta$, $\\Pi_Gf(z)=- \\frac{1}{\\pi} \\int_G \\int \\frac{f(\\varsigma)}{(\\varsigma - z)^2} d\\xi d\\eta$. | en_US |
| dc.identifier.endpage | 52 | en_US |
| dc.identifier.issn | 1303-5010 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 41 | en_US |
| dc.identifier.trdizinid | 121502 | en_US |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/121502 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14619/12606 | |
| dc.identifier.volume | 40 | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.institutionauthor | Düz, Murat | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Matematik | en_US |
| dc.subject | İstatistik ve Olasılık | en_US |
| dc.title | On the existence and uniqueness of solutions of a certain class of non-linear singular integral equations | en_US |
| dc.type | Article | en_US |
