Mixed type of Fredholm-Volterra integral equation

• Main Authors: M. A. Abdou, G. M. Abd Al-Kader
• Format: Article
• Language: English
• Published: Università degli Studi di Catania 2005-05-01
• Series: Le Matematiche
• Subjects: Fredholm-Volterra integral equation; Contact problem; Chebyshev polynomial; Logarithmic kernel; Potential theory method
• Online Access: http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/137

In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space <em>L_2</em> <em>(−1, 1) × C[0, T ], T < ∞</em>. Here, the singular part of kernel of Fredholm-Volterra integral term is established in a logarithmic form, while the kernel of Fredholm-Volterra integral term is a positive continuous function in time and belongs to the class <em>C[0, T ], T < ∞</em>. The solution, when the mixed type integral, takes a system form of Fredholm integral equation of the first or second kind are discussed.<br />