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Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
Zhaowen Zheng1, Yingjie Zhang1, Jing Shao2,3
11School of Mathematical Sciences, Qufu Normal University, Qufu, P.R. China.
Abstract:
Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and integral inequalities; these inequalities have both nonlocal integral jump and weakly singular kernels. Finally, we give two examples of these inequalities in estimating solutions of certain equations with Riemann-Liouville fractional integral conditions.
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