Piecewise Continuous Almost Periodic Solutions For Nonlinear Impulsive Differential Equations
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Piecewise Continuous Almost Periodic Solutions for Nonlinear Impulsive Differential Equations
Author | : |
Publisher | : |
Total Pages | : 96 |
Release | : 2006 |
Genre | : Banach spaces |
ISBN | : 9789741434244 |
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In this thesis, we prove the existence and uniqueness of a classical piecewise continuous almost periodic solution for nonlinear impulsive differential equations described by analytic semigroups on a banach space. Fractional powers of closed operators and banach fixed point theorem are used to overcome the existence problem. Moreover, we investigate asymptotic stability of the system.
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