Mixed type of Fredholm-Volterra integral equation

Authors

  • M. A. Abdou
  • G. M. Abd Al-Kader

Keywords:

Fredholm-Volterra integral equation, Contact problem, Chebyshev polynomial, Logarithmic kernel, Potential theory method

Abstract

In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space L_2 (−1, 1) × C[0, T ], T < ∞. 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 C[0, T ], T < ∞. The solution, when the mixed type integral, takes a system form of Fredholm integral equation of the first or second kind are discussed.

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Published

2006-06-01

Issue

Vol. 60 No. 1 (2005)

Section

Articoli

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