New retarded integral inequalities with applications

作者:Agarwal Ravi P; Kim Young Ho*; Sen S K
来源:Journal of Inequalities and Applications, 2008, 908784.
DOI:10.1155/2008/908784

摘要

Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004). These inequalities can be used as basic tools in the study of certain classes of functional differential equations as well as integral equations. A existence and a uniqueness on the solution of the functional differential equation involving several retarded arguments with the initial condition are also indicated.
Copyright (c) 2008 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

  • 出版日期2008