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386551

Dynamics of a second‑order nonlinear diference system with exponents

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Last updated: 29 Dec 2024

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Abstract

In this paper, we study the persistence, boundedness, convergence, invariance and
global asymptotic behavior of the positive solutions of the second-order diference
system
xn+1 = α1 + ae−xn−1 + byne−yn−1 ,
yn+1 = α2 + ce−yn−1 + dxne−xn−1 n = 0, 1, 2, ... where α1, α2, a, b, c, d are
positive real numbers and the initial conditions x−1, x0, y−1, y0 are arbitrary nonnegative
numbers.

DOI

10.1186/s42787-021-00119-6

Keywords

Local behavior, Global behavior, Invariance, persistence, Boundedness

Authors

First Name

D. S.

Last Name

Dilip

MiddleName

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Affiliation

Department of Mathematics, St. John’s College, Anchal, Kerala, India., Department of Mathematics, Mar Ivanios College, Research Centre, University of Kerala, Thiruvananthapuram, India.

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Orcid

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First Name

Smitha Mary

Last Name

Mathew

MiddleName

-

Affiliation

Department of Mathematics, St. John’s College, Anchal, Kerala, India., Department of Mathematics, Mar Ivanios College, Research Centre, University of Kerala, Thiruvananthapuram, India.

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City

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Orcid

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Volume

29

Article Issue

1

Related Issue

50998

Issue Date

2021-01-01

Receive Date

2024-10-16

Publish Date

2021-01-01

Page Start

1

Page End

10

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 29_Issue 1_Pages 1-10.pdf

PDF . 2.0MB

Link

https://joems.journals.ekb.eg/article_386551.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386551

Order

386,551

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Dynamics of a second‑order nonlinear diference system with exponents

Details

Type

Article

Created At

21 Dec 2024