On some nonlinear integral and discrete inequalitites related to Ou-Iang's inequality

Nonlinear integral and discrete inequalities are obtained, which are related to some recent results of B. G. Pachpatte in [1] given therein as generalizations of Ou-Iang's integral inequality [2]. As special cases, some new inequalities with the power nonlinearity are derived from the main results. To show the contribution of our results, boundedness of solutions to certain nonlinear difference equation is also considered. The project is supported in part by the NSF of Guangdong Province (Grnat No. 940651) and the SF of Key Discipline of the State Council Office of Overseas Chinese Affairs of China (Grant No. 93-93-6).