摘要

The purpose of this paper is to study on gauge spaces the following nonlinear integral equation: <br xmlns:set="http://exslt.org/sets">x(t) = g (t, x(t)) + h(t, x(t)) . integral(t)(0) K(t, s, x(s))ds, t >= 0.
Our results are connected with some results by K. Balachandran and M. Diana Julie (Asymptotic stability of solutions of nonlinear integral equations, Nonlinear Functional Analysis and Applications, Vol.13, No.2(2008), pp 311-322). Also, we given an example which show us that the results from the above paper can not be applied, but our results are fulfilled.

  • 出版日期2015