“…Meanwhile, the qualitative theory of integral differential equations creates an branch of nonlinear analysis. Boundary value problems for various first-order integral differential equations have been studied by several researchers, and there are some results on the existence of solutions and extremal solutions, the controllability problem controllability of integral boundary value conditions, and antiperiodic boundary value conditions, such as ordinary differential equations [8][9][10][11][12], difference equations [13,14], fractional differential equations [15][16][17][18][19][20], impulsive differential equations [9,14,21,22], integro-differential equations, and impulsive functional differential equations [18,[23][24][25][26].…”