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Fredholm-Volterra integral equation with potential kernel

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  • M. A. Abdou
  • A. A. El-Bary

Abstract

A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L 2 ( Ω ) × C ( 0 , T ) , Ω = { ( x , y ) : x 2 + y 2 ≤ a } , z = 0 , and T < ∞ . The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C ( [ Ω ] × [ Ω ] ) , while the kernel of Volterra integral term is a positive and continuous function that belongs to the class C [ 0 , T ] . Also in this work the solution of Fredholm integral equation of the second and first kind with a potential kernel is discussed. Many interesting cases are derived and established in the paper.

Suggested Citation

  • M. A. Abdou & A. A. El-Bary, 2001. "Fredholm-Volterra integral equation with potential kernel," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 26, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:838126
    DOI: 10.1155/S0161171201005981
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