fredholm-volterra integral equation with potential kernel

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ID: 219880
2001
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Abstract
A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤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.
Reference Key
abdou2001internationalfredholm-volterra Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;M. A. Abdou;A. A. El-Bary
Journal structural engineering and mechanics
Year 2001
DOI
10.1155/S0161171201005981
URL
http://dx.doi.org/10.1155/S0161171201005981
Keywords
mathematics

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