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Exact controllability results for a class of abstract nonlocal Cauchy problem with impulsive conditions

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This paper deals with exact controllability of a class of abstract nonlocal Cauchy problem with impulsive conditions in Banach spaces. By using Sadovskii fixed point theorem and Monch fixed point… Click to show full abstract

This paper deals with exact controllability of a class of abstract nonlocal Cauchy problem with impulsive conditions in Banach spaces. By using Sadovskii fixed point theorem and Monch fixed point theorem, exact controllability results are obtained without assuming the compactness and Lipschitz conditions for nonlocal functions. An example is given to illustrate the main results.

Keywords: class abstract; nonlocal cauchy; cauchy problem; abstract nonlocal; controllability; exact controllability

Journal Title: Evolution Equations and Control Theory
Year Published: 2017

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