Effectiveness of matrix measure in finding periodic solutions for nonlinear systems of differential and integro-differential equations with delays

Standard

Effectiveness of matrix measure in finding periodic solutions for nonlinear systems of differential and integro-differential equations with delays. / Mesmouli, Mouataz; Menaem, Amir; Hassan, Taher.
In: Aims mathematics, Vol. 9, No. 6, 2024, p. 14274-14287.

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

BibTeX

@article{95a012abef3a4e7db4841a09cd71246a,

title = "Effectiveness of matrix measure in finding periodic solutions for nonlinear systems of differential and integro-differential equations with delays",

abstract = "In this manuscript, under the matrix measure and some sufficient conditions, we will overcame all difficulties and challenges related to the fundamental matrix for a generalized nonlinear neutral functional differential equations in matrix form with multiple delays. The periodicity of solutions, as well as the uniqueness under the considered conditions has been proved employing the fixed point theory. Our approach expanded and generalized certain previously published findings for example, we studied the uniqueness of a solution that was absent in some literature. Moreover, an example was given to confirm the main results.",

author = "Mouataz Mesmouli and Amir Menaem and Taher Hassan",

year = "2024",

doi = "10.3934/math.2024693",

language = "English",

volume = "9",

pages = "14274--14287",

journal = "Aims mathematics",

issn = "2473-6988",

publisher = "American Institute of Mathematical Sciences",

number = "6",

}

RIS

TY - JOUR

T1 - Effectiveness of matrix measure in finding periodic solutions for nonlinear systems of differential and integro-differential equations with delays

AU - Mesmouli, Mouataz

AU - Menaem, Amir

AU - Hassan, Taher

PY - 2024

Y1 - 2024

N2 - In this manuscript, under the matrix measure and some sufficient conditions, we will overcame all difficulties and challenges related to the fundamental matrix for a generalized nonlinear neutral functional differential equations in matrix form with multiple delays. The periodicity of solutions, as well as the uniqueness under the considered conditions has been proved employing the fixed point theory. Our approach expanded and generalized certain previously published findings for example, we studied the uniqueness of a solution that was absent in some literature. Moreover, an example was given to confirm the main results.

AB - In this manuscript, under the matrix measure and some sufficient conditions, we will overcame all difficulties and challenges related to the fundamental matrix for a generalized nonlinear neutral functional differential equations in matrix form with multiple delays. The periodicity of solutions, as well as the uniqueness under the considered conditions has been proved employing the fixed point theory. Our approach expanded and generalized certain previously published findings for example, we studied the uniqueness of a solution that was absent in some literature. Moreover, an example was given to confirm the main results.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001209050700003

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85192502523

U2 - 10.3934/math.2024693

DO - 10.3934/math.2024693

M3 - Article

VL - 9

SP - 14274

EP - 14287

JO - Aims mathematics

JF - Aims mathematics

SN - 2473-6988

IS - 6

ER -

ID: 56693557