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Study of the Normality and Continuity for the Mixed Integral Equations with Phase-Lag Term

International Journal of Mathematical Analysis • 2017
العودة
معلومات البحث
المؤلفون M. A. Abdou; M. E. Nasr; M. A. Abdel-Aty
الكلمات المفتاحية Fredholm-Volterra integral equations, Mixed integral equation, Linear system of Fredholm integral equations, Continuous kernel, Trapezoidal Rule, Phase-Lag
المجلة العلمية International Journal of Mathematical Analysis
الناشر HIKARI Ltd
المجلد 11
العدد 16
الصفحات 13
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
In this paper, the existence and uniqueness solution of the FredholmVolterra integral equations (F-VIEs) are considered in the space L2[0; 1]×
Cn[0; T]; 0 ≤ T < 1. Using a numerical technique, F-VIEs lead to a system of linear Fredholm integral equations (SLFIEs). Also, the normality
and the continuity of integral operator are discussed. The Trapezoidal
Rule is used to get the solution of SLFIEs. Finally, numerical results
are discussed and the error estimate is computed.