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

Lecturer on Mathematics at Mathematic Department

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Published

2016-10-30

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

Issue

Vol. 9 No. 4: (October 2016)

Section

Functional Analysis

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European Journal of Pure and Applied Mathematics will be Copyright Holder.