An asymptotic model for solving mixed integral equation in some domains

Authors

Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt

https://doi.org/10.1186/s42787-020-00106-3

Abstract

In this paper, we discuss the solution of mixed integral equation with generalized
potential function in position and the kernel of Volterra integral term in time. The
solution will be discussed in the space L2(�) × C[0, T ],0 ≤ t ≤ T < 1, where  is the
domain of position and t is the time. The mixed integral equation is established from
the axisymmetric problems in the theory of elasticity. Many special cases when kernel
takes the potential function, Carleman function, the elliptic function and logarithmic
function will be established.

Keywords