Fredholm---Volterra integral equation of the first kind and contact problem

Authors:
M. A. Abdou
Affiliations:
Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

Regular and singular asymptotic methods are applied to one- and two-dimensional Fredholm-Volterra integral equation (F-VIE) of the first kind that arise in the treatment of various two-dimensional axisymmetric and three-dimensional problems with mixed boundary conditions in the mechanics of continuous media. The solution of the integral equation is obtained in the space L2(Ω) × C(0, T), 0 ≤ t ≤ T ∞ under certain conditions, where Ω is the domain of integration and t ∈ (0, T) is the time interval.