In the stability theory, the nonlinear equations were not so much investigated. In this note we consider the stability of a nonlinear integral equation with Lipschitzian kernel. The approach is based on monotonicity properties of a nonlinear operator.
The authors are thankful to the learned referee for his/her deep observations and their suggestions which greatly helped us to improve the paper significantly.
"A note to establish the Hyers-Ulam stability for a nonlinear integral equation with Lipschitzian kernel." Tbilisi Math. J. 11 (3) 41 - 45, September 2018. https://doi.org/10.32513/tbilisi/1538532025