Bounded Issues on a Class of Integral Equations with Weakly Singular Kernels

This study discovered numerical bounds for the states of a class of integral equations with weakly singular kernels. The original motivation for this research was the reality that the states became bounded when their corresponding forces were bounded but could be unbounded as these forces increased, especially as time approached infinity [3]. The classical equations used in this study from an aeroelasticity model that describes dynamics of an airfoil flying supersonically in a nonrotational uniform fluid pattern [2]. This paper reveals that the far field behaviors of states can be bounded through the pre-setting of the bounds of forces.