(2017). On some generalizations of certain nonlinear retarded integral inequalities for Volterra–Fredholm integral equations and their applications in delay differential equations. test, 25(3), 279-285. doi: 10.1016/j.joems.2017.02.001
. "On some generalizations of certain nonlinear retarded integral inequalities for Volterra–Fredholm integral equations and their applications in delay differential equations". test, 25, 3, 2017, 279-285. doi: 10.1016/j.joems.2017.02.001
(2017). 'On some generalizations of certain nonlinear retarded integral inequalities for Volterra–Fredholm integral equations and their applications in delay differential equations', test, 25(3), pp. 279-285. doi: 10.1016/j.joems.2017.02.001
On some generalizations of certain nonlinear retarded integral inequalities for Volterra–Fredholm integral equations and their applications in delay differential equations. test, 2017; 25(3): 279-285. doi: 10.1016/j.joems.2017.02.001

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, Pages 279-285    PDF (366.57 K)
DOI: 10.1016/j.joems.2017.02.001
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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