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.
Abdou, M., & Awad, H. (2020). An asymptotic model for solving mixed integral equation in some domains. Journal of the Egyptian Mathematical Society, 28(1), 1-12. doi: https://doi.org/10.1186/s42787-020-00106-3
MLA
Mohamed Abdella Abdou; Hamed Kamal Awad. "An asymptotic model for solving mixed integral equation in some domains", Journal of the Egyptian Mathematical Society, 28, 1, 2020, 1-12. doi: https://doi.org/10.1186/s42787-020-00106-3
HARVARD
Abdou, M., Awad, H. (2020). 'An asymptotic model for solving mixed integral equation in some domains', Journal of the Egyptian Mathematical Society, 28(1), pp. 1-12. doi: https://doi.org/10.1186/s42787-020-00106-3
VANCOUVER
Abdou, M., Awad, H. An asymptotic model for solving mixed integral equation in some domains. Journal of the Egyptian Mathematical Society, 2020; 28(1): 1-12. doi: https://doi.org/10.1186/s42787-020-00106-3