On some generalizations of certain nonlinear retarded integral inequalities for Volterra–Fredholm integral equations and their applications in delay differential equations | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 25, Issue 3, 2017, Page 279-285 PDF (366.57 K) | ||||
DOI: 10.1016/j.joems.2017.02.001 | ||||
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Abstract | ||||
By some new analysis techniques, we generalize the results presented by Pachpatte in [Integral and Finite Difference Inequalities and Applications, volume 205, Elsevier, 2006] and and by S. D. Kendre in [Some nonlinear integral inequalities for Volterra–Fredholm integral equations, Adv. Inequal. App, 2014:Article 21, 2014.] to nonlinear retarded inequalities, and investigate also some new forms. Some applications are also presented in order to illustrate the usefulness of some of our results. | ||||
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