Characterization of P-Semi Homogenous System of Difference Equations
DOI:
https://doi.org/10.23851/mjs.v34i1.1235Keywords:
Difference equation, homogenous system, semi-homogenous, P-semi-homogenousAbstract
The primary aim of this paper is to define new concepts of systems of difference equations. For A homogenous system x(n+1)=Ax(n) of difference equations, we define P-semi-homogenous of order and adjoint. This definition is generalized to (2x2)-semi-homogeneous system of difference equations of order, where is a positive integer number. We study all special cases of this definition and give some examples. Also, we give some characterizations of those definitions, the necessary and sufficient conditions for a homogenous system of difference Equations to be P-semi homogenous of order one or greater than one is given in theorems, as well as some examples and theorems.
Downloads
References
Saber E. An Introduction to difference equations, third edition, Springer ISBN 0-387-23059-9, 2000
Goldberg S. Introduction to difference equations New York: John Wiley & Sons, Inc.1958.
David L. J. difference equations with applications to queues, printed in the United States of America, 2002.
H. Deng, Y. He and J. Zhou, "Higher-order Difference Equations Including p-Laplacian Possess Infinitely Homoclinic Solutions," 2021 International Conference on Electronic Information Technology and Smart Agriculture (ICEITSA), 2021, pp. 284-290.
Аль-Асади Б. Д.; О свойствах разностной системы. успехи современной науки, no.3, Tom 2, c.105-107, 2016.
Abed H. and Al-Asadi B. J. Characterization of homogeneous system of difference equations, Al-Mustansiriyah Journal of Science Al-Mustansiriyah Journal of Science, Volume 32, Issue 1, 2021.
Эфендиева Э. А.; Об Одной Системе разностных уравнений высших порядков. ФДУ и их приложения, вы.4, с 92-94, 2002.
Lungelo K. N.; Difference Equations and Their Symmetries, A Dissertation Submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfillment of the requirements for the degree of Master of Science. September 26, 2014.
Downloads
Key Dates
Published
Issue
Section
License
Copyright (c) 2023 Al-Mustansiriyah Journal of Science
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
(Starting May 5, 2024) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgement of the work’s authorship and initial publication in this journal.
How to Cite
