A novel approach for the stability inequalities for high-order Volterra delay integro-differential equation

Ilhame Amirali; Hülya Acar

doi:10.1007/s12190-022-01761-8

A novel approach for the stability inequalities for high-order Volterra delay integro-differential equation

Ilhame Amirali^*, Hülya Acar

^*Corresponding author for this work

Duzce University

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

7 Citations (Scopus)

Abstract

High-order linear Volterra delay integro-differential equations are examined in the present paper. Proposed approach, which will be provided for solving high-order linear Volterra delay integro-differential equations, expresses certain key elements of determining the equations’ stability bounds and exact solutions. Furthermore, stability inequalities can be generated for each order of derivative using the proposed method.

Original language	English
Pages (from-to)	1057-1069
Number of pages	13
Journal	Journal of Applied Mathematics and Computing
Volume	69
Issue number	1
DOIs	https://doi.org/10.1007/s12190-022-01761-8
Publication status	Published - Feb 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.

Keywords

High-order delay integro-differential equation
Stability inequality
Volterra integro-differential equation

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10.1007/s12190-022-01761-8

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abstract = "High-order linear Volterra delay integro-differential equations are examined in the present paper. Proposed approach, which will be provided for solving high-order linear Volterra delay integro-differential equations, expresses certain key elements of determining the equations{\textquoteright} stability bounds and exact solutions. Furthermore, stability inequalities can be generated for each order of derivative using the proposed method.",

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AU - Acar, Hülya

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N2 - High-order linear Volterra delay integro-differential equations are examined in the present paper. Proposed approach, which will be provided for solving high-order linear Volterra delay integro-differential equations, expresses certain key elements of determining the equations’ stability bounds and exact solutions. Furthermore, stability inequalities can be generated for each order of derivative using the proposed method.

AB - High-order linear Volterra delay integro-differential equations are examined in the present paper. Proposed approach, which will be provided for solving high-order linear Volterra delay integro-differential equations, expresses certain key elements of determining the equations’ stability bounds and exact solutions. Furthermore, stability inequalities can be generated for each order of derivative using the proposed method.

KW - High-order delay integro-differential equation

KW - Stability inequality

KW - Volterra integro-differential equation

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A novel approach for the stability inequalities for high-order Volterra delay integro-differential equation

Abstract

Bibliographical note

Keywords

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