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

Poongodi Rathinasamy; Murugesu Rangasamy; Nirmalkumar Rajendran

doi:10.3934/eect.2017030

Article Contents

2017, Volume 6, Issue 4: 599-613. Doi: 10.3934/eect.2017030

This issue Previous Article Stability and instability of solutions to the drift-diffusion system Next Article Degeneracy in finite time of 1D quasilinear wave equations Ⅱ

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

1.
Department of Mathematics, Kongunadu Arts and Science College, Coimbatore -641 029, Tamil Nadu, India
2.
Department of Mathematics, SRMV College of Arts and Science, Coimbatore -641 020, Tamil Nadu, India

* Corresponding author: R. Poongodi
* Corresponding author: R. Poongodi

Received: June 2016

Revised: May 2017

Published: December 2017

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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 Mönch 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.

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Mathematics Subject Classification: Primary: 34A60, 34A37; Secondary: 34K30.

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References

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