Energy decay in a quasilinear system with infinite memories

Mohammad Mustafa Mohammad Kafini; Muhammad Islam Shafiq Ahmad Mustafa

Energy decay in a quasilinear system with infinite memories

Mohammad Mustafa Mohammad Kafini
, Muhammad Islam Shafiq Ahmad Mustafa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we consider a quasilinear system of two coupled equations with infinite memories and investigate the asymptotic behaviour of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions which improves earlier results existing in the literature.

Original language	English
Journal	IMA Journal of Mathematical Control and Information
State	Published - 2019

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title = "Energy decay in a quasilinear system with infinite memories",

abstract = "In this paper we consider a quasilinear system of two coupled equations with infinite memories and investigate the asymptotic behaviour of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions which improves earlier results existing in the literature.",

author = "Kafini, \{Mohammad Mustafa Mohammad\} and Mustafa, \{Muhammad Islam Shafiq Ahmad\}",

year = "2019",

language = "English",

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TY - JOUR

T1 - Energy decay in a quasilinear system with infinite memories

AU - Kafini, Mohammad Mustafa Mohammad

AU - Mustafa, Muhammad Islam Shafiq Ahmad

PY - 2019

Y1 - 2019

N2 - In this paper we consider a quasilinear system of two coupled equations with infinite memories and investigate the asymptotic behaviour of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions which improves earlier results existing in the literature.

AB - In this paper we consider a quasilinear system of two coupled equations with infinite memories and investigate the asymptotic behaviour of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions which improves earlier results existing in the literature.

M3 - Article

SN - 0265-0754

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

ER -

Energy decay in a quasilinear system with infinite memories

Abstract

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