Discontinuity, Nonlinearity, and Complexity
Nonlinear integral inequalities with parameter and bounded solutions of dynamical systems
Discontinuity, Nonlinearity, and Complexity 7(2) (2018) 195--207 | DOI:10.5890/DNC.2018.06.008
Taoufik Ghrissi; M. A. Hammami
Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax Route Soukra, BP 1171, 3000 Sfax, TUNISIA
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Abstract
We present in this paper some new nonlinear integral inequalities with parameter and we will use them to show the boundedness of solutions of perturbed nonlinear time-varying differential equations. Furthermore, some examples are given to illustrate the pplicability of the obtained results.
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