Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article New Integral Inequalities for Iterated Integrals with Applications | Hindawi Publishing Corporation Journal ofInequalities and Applications Volume 2007 Article ID 24385 18 pages doi 2007 24385 Research Article New Integral Inequalities for Iterated Integrals with Applications Ravi P. Agarwal Cheon Seoung Ryoo and Young-Ho Kim Received 20 September 2007 Accepted 15 November 2007 Recommended by Sever S. Dragomir Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations. Copyright 2007 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. 1. Introduction The Gronwall-type integral inequalities provide necessary tools in the study of the theory of differential equations integral equations and inequalities of various types. Some such inequalities can be found in the works of Agarwal Deng et al. 1 . The result has been used in the study of global existence of solutions of a retarded differential equations and estimation of solution of function differential equation Cheung 2 . The result has been used in the study of certain initial boundary value problem for hyperbolic partial differential equations Cheung and Ma 3 . The result has been used in the study of global existence of solutions for a partial differential equations Pachpatte 4-9 . The results have been applied in the study of certain properties of solutions for the integrodifferential equations partial integrodifferential equations retarded Volterra-Fredholm integral equations retarded nonself-adjoint hyperbolic partial differential equations Ye et al. 10 . The result has been used in the study of the Riemann-Liouville fractional integral equations Zhao and Meng 11 . The result has been used in the study of integral equations. During the past few years several .
