ScholarLens Back to search
2016•Preprints.orgOpen access

A study of controllability of impulsive neutral evolution integro-differential equations with state dependent delay in Banach space

Dimplekumar Chalishajar, A. Anguraj, Kulandhivel Karthikeyan, Malar Ganeshan

Open full text 5 citations

Abstract

In this paper, we study the problem of controllability of impulsive neutral evolution integrodifferential equations with state dependent delay in Banach spaces. The main results are completely new and are obtained by using Sadovskii's fixed point theorem, theory of resolvent operators, and an abstract phase space. An example is given to illustrate the theory.

About this research paper

What this paper is about

In this paper, we study the problem of controllability of impulsive neutral evolution integrodifferential equations with state dependent delay in Banach spaces. The main results are completely new and are obtained by using Sadovskii's fixed point theorem, theory of resolvent operators, and an abstract phase space. An example is given to illustrate the theory.

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, we study the problem of controllability of impulsive neutral evolution integrodifferential equations with state dependent delay in Banach spaces. The main results are completely new and are obtained by using Sadovskii's fixed point theorem, theory of resolvent operators, and an abstract phase space. An example is given to illustrate the theory.

Key concepts: Controllability, Resolvent, Banach space, C0-semigroup, Mathematics, Fixed-point theorem, Mathematical analysis, State space

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
A study of controllability of impulsive neutral evolution integro-differential equations with state dependent delay in Banach space — Research Paper | ScholarLens