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

被引：15

作者：

Abdou, MA

Badr, AA ^{[1
]}

机构：

[1] Univ Alexandria, Dept Math, Fac Sci, Alexandria, Egypt

[2] Univ Alexandria, Dept Math, Fac Educ, Alexandria, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 127卷 / 01期

关键词：

Volterra-Wiener-Hopf integral equation; contact problem; Macdonald function; Chebyshev-Laguerre polynomials;

D O I：

10.1016/S0096-3003(01)00003-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the solution, in a series form, of the integral equation of the mixed type in the space L(Omega) x C[O,T] is obtained, where Omega {(x,y,z) : -infinity < x,y < infinity, -infinity < z < 0} and the time t is an element of [0,T], 0 less than or equal to t less than or equal to T < infinity. 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. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：65 / 78

页数：14

共 25 条

[1] Fredholm integral equation with potential kernel and its structure resolvent [J].