Controllability for some integrodifferential evolution equations in Banach spaces

Abstract

In this work, we study the controllability for a class of nonlinear integrodifferential equations in Banach spaces. Using resolvent operator properties and Schaefer's fixed point Theorem, we give sufficient conditions for the controllability when the nonlinear term satisfies the Carathéodory conditions.

Authors and Affiliations

Mouhamadou Alpha Diallo, Khalil Ezzinbi, Abdoulaye Sene

Keywords

Related Articles

On properties of set-valued integrals driven by martingales and set-valued stochastic equations

In the paper we study properties of stochastic integrals of Aumann type driven by quadratic variation process and set-valued Itô integral with respect to martingale. Next, the existence, uniqueness and convergence proper...

Controllability for some integrodifferential evolution equations in Banach spaces

In this work, we study the controllability for a class of nonlinear integrodifferential equations in Banach spaces. Using resolvent operator properties and Schaefer's fixed point Theorem, we give sufficient conditions fo...

Controllability for some Partial Functional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces

This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllabilit...

Hybrid fractional integro-differential inclusions

In this paper we study an existence result for initial value problems for hybrid fractional integro-differential inclusions. A hybrid fixed point theorem for a sum of three operators due to Dhage is used. An example...

Effective energy integral functionals for thin films with three dimensional bending moment in the Orlicz-Sobolev space setting

In this paper we consider an elastic thin film ωϵR2 with the bending moment depending also on the third thickness variable. The effective energy functional defined on the Orlicz-Sobolev space over ω is described by Γ-con...

Download PDF file
  • EP ID EP481491
  • DOI 10.7151/dmdico.1191
  • Views 57
  • Downloads 0

How To Cite

Mouhamadou Alpha Diallo, Khalil Ezzinbi, Abdoulaye Sene (2017). Controllability for some integrodifferential evolution equations in Banach spaces. Discussiones Mathematicae Differential Inclusions Control and Optimization, 37(1), 69-81. https://europub.co.uk/articles/-A-481491