On a method for solving an integral equation in the displacement contact problem

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

Citing 4
Cited 3

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Abstract

In this paper, the solution, in a series form, of the integral equation of the mixed type in the space L(Ω) × C[0,T] is obtained, where Ω= {(x,y,z):-∞ x,y ∞,-∞ z 0} and the time t ∈ [0, T], 0 ≤ t ≤ T ∞. The existence and the uniqueness of the solution of the integral equation is considered. The solution of the integral equation in a series form is obtained and the convergence is discussed.