On solution of a certain class of non linear singular integral equations

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Tarih

2011

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Selcuk University Research Center of Applied Mathematics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, the existence of solution of the non-linear singular integral equation systemw(z)=f?(.,w(.),h(.),T_{G}g?(.,w(.),h(.)),?_{G}h?(.,w(.),h(.)))(z) h(z)=f?(.,w(.),h(.),T_{G}g?(.,w(.),h(.)),?_{G}h?(.,w(.),h(.)))(z)has been investigated. Here,T_{G}f(z)and?_{G}f(z)are Vekua integral operators defined byT_{G}f(z) = -(1/?)?_{G}((f(?))/(?-z))d?d? ?_{G}f(z) = -(1/?)?_{G}((f(?))/((?-z)))d?d?.

Açıklama

URL: http://sjam.selcuk.edu.tr/sjam/article/view/279

Anahtar Kelimeler

Singular integral equations, Holder continuity, Fixed point theorem, Contraction mapping, Tekil integral denklemler, Tutucu süreklilik, Sabit nokta teoremi, Kasılma haritalaması

Kaynak

Selcuk Journal of Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

Cilt

12

Sayı

Künye

Düz, M. (2011). On solution of a certain class of non linear singular integral equations. Selcuk Journal of Applied Mathematics, 12 (1), 53-70.