Some New Nonlinear Integro-differential Inequalities of Gronwall-bellman-pachpatte Type
نویسنده
چکیده
In this paper we establish some new nonlinear integro-differential inequalities of Gronwall-Bellman-Pachpatte type for function of one independent variable. The purpose of this paper is to extend certain results which proved by Pachpatte in [On some fundamental integrodifferential and integral inequalities, An. Sti. Univ. Al. I. Cuza, Iasi, Vol.23 (1977), 77-86]. The inequalities obtained here can be used in the theory of some new classes of nonlinear integrodifferential equations. Some applications are also given to illustrate the usefulness of our results.
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تاریخ انتشار 2014