Existence, uniqueness and controllability analysis of Benjamin-Bona-Mahony equation with non instantaneous impulses, delay and non local conditions

Abstract:

The main purpose of this article is to prove existence and uniqueness of the solutions for a semilinear evolution equation with non-instantaneous impulses, delay and nonlocal conditions. As an application we consider the Benjamin-Bona-Mahony equation (BBM). The results are obtained by using Karakostas fixed point theorem and nonlinear functional analysis. In the second part we establish the approximate controllability of the controlled BBM equation. This is done applying a technique that pull back the control solution to a fixed curve in a short time interval.

Año de publicación:

2021

Keywords:

Fuente:

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