Controllability of Mild Solutions for Evolution Equations with Infinite State-Dependent Delay

Authors

  • Selma Bendimerad Baghli
  • Djillali Aoued

Keywords:

Controllability, Mild solution, Evolution equations, Neutral problems, Infinite delay, State-dependent delay, Fixed point, Nonlinear alternative, Semigroup theory, Fréchet spaces.

Abstract

We consider in this paper the controllability of mild solutions defined on the semi-infinite positive real interval fortwo classes of first order partial functional and neutral functional evolution equations with infinite state-dependent delay using a nonlinear alternative due to Avramescu for sum of compact and contraction operators in Fréchet spaces, combined with the semigroup theory.

Author Biography

Selma Bendimerad Baghli

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How to Cite

Baghli, S. B., & Aoued, D. (2016). Controllability of Mild Solutions for Evolution Equations with Infinite State-Dependent Delay. European Journal of Pure and Applied Mathematics, 9(4), 383–401. Retrieved from https://ejpam.com/index.php/ejpam/article/view/2456