On the Dynamics of the Nonlinear Rational Difference Equation x_{n+1}=Ax_{n}+Bx_{n-a}+((ax_{n-a}+bx_{n-k})/(cx_{n-a}+dx_{n-k}))

On the Dynamics of the Nonlinear Rational Difference Equation x_{n+1}=Ax_{n}+Bx_{n-a}+((ax_{n-a}+bx_{n-k})/(cx_{n-a}+dx_{n-k}))

Article ID

Z9B68

On the Dynamics of the Nonlinear Rational Difference Equation x_{n+1}=Ax_{n}+Bx_{n-a}+((ax_{n-a}+bx_{n-k})/(cx_{n-a}+dx_{n-k}))

E. M. Elabbasy

H. S. Alshawee Mansoura University

DOI

Access OJS

Abstract

In this paper, we study the locally stability, global stability, the periodicity and the boundedness of the positive solutions of the following nonlinear difference equationwhere the coefficients and are positive real number and are positive integers. The initial conditions are arbitrary positive real numbers such that .

On the Dynamics of the Nonlinear Rational Difference Equation x_{n+1}=Ax_{n}+Bx_{n-a}+((ax_{n-a}+bx_{n-k})/(cx_{n-a}+dx_{n-k}))

Authors

E. M. Elabbasy

H. S. Alshawee Mansoura University

Figure

No Figures found in article.

References

How to Cite

H. S. Alshawee. 2015. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F9): .

More Citation Formats

Select Citation Style:

Download Citation

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

GJSFR Volume 15 Issue F9
Pg. 33- 43

Explore Journals Explore Volume Read This Issue

Classification

GJSFR-F Classification: MSC 2010: 39A10, 39A11

Submission Received November 1, 2015
Accepted November 29, 2015
Published December 14, 2015

Keywords

Not Found

Article Matrices

Total Score: 102

Country: Egypt

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: E. M. Elabbasy, H. S. Alshawee (PhD/Dr. count: 0)

View Count (all-time): 112

Total Views (Real + Logic): 3829

Total Downloads (simulated): 1982

Publish Date: 2015 12, Sat

Monthly Totals (Real + Logic):

Month 1: 34 views
Month 2: 56 views
Month 3: 53 views
Month 4: 48 views
Month 5: 37 views
Month 6: 41 views
Month 7: 29 views
Month 8: 22 views
Month 9: 25 views
Month 10: 23 views
Month 11: 48 views
Month 12: 23 views
Month 13: 25 views
Month 14: 17 views
Month 15: 15 views
Month 16: 43 views
Month 17: 37 views
Month 18: 23 views
Month 19: 20 views
Month 20: 34 views
Month 21: 38 views
Month 22: 12 views
Month 23: 33 views
Month 24: 41 views
Month 25: 23 views
Month 26: 41 views
Month 27: 37 views
Month 28: 34 views
Month 29: 21 views
Month 30: 37 views
Month 31: 24 views
Month 32: 23 views
Month 33: 29 views
Month 34: 30 views
Month 35: 25 views
Month 36: 33 views
Month 37: 31 views
Month 38: 32 views
Month 39: 24 views
Month 40: 44 views
Month 41: 18 views
Month 42: 33 views
Month 43: 15 views
Month 44: 28 views
Month 45: 34 views
Month 46: 47 views
Month 47: 37 views
Month 48: 13 views
Month 49: 43 views
Month 50: 25 views
Month 51: 41 views
Month 52: 19 views
Month 53: 22 views
Month 54: 29 views
Month 55: 28 views
Month 56: 13 views
Month 57: 44 views
Month 58: 31 views
Month 59: 14 views
Month 60: 11 views
Month 61: 17 views
Month 62: 28 views
Month 63: 38 views
Month 64: 43 views
Month 65: 37 views
Month 66: 23 views
Month 67: 14 views
Month 68: 24 views
Month 69: 16 views
Month 70: 49 views
Month 71: 26 views
Month 72: 29 views
Month 73: 35 views
Month 74: 15 views
Month 75: 36 views
Month 76: 40 views
Month 77: 39 views
Month 78: 34 views
Month 79: 21 views
Month 80: 41 views
Month 81: 44 views
Month 82: 21 views
Month 83: 44 views
Month 84: 31 views
Month 85: 22 views
Month 86: 10 views
Month 87: 30 views
Month 88: 25 views
Month 89: 43 views
Month 90: 36 views
Month 91: 35 views
Month 92: 28 views
Month 93: 22 views
Month 94: 30 views
Month 95: 38 views
Month 96: 21 views
Month 97: 47 views
Month 98: 30 views
Month 99: 27 views
Month 100: 25 views
Month 101: 23 views
Month 102: 20 views
Month 103: 22 views
Month 104: 34 views
Month 105: 38 views
Month 106: 37 views
Month 107: 15 views
Month 108: 21 views
Month 109: 15 views
Month 110: 28 views
Month 111: 16 views
Month 112: 42 views
Month 113: 41 views
Month 114: 41 views
Month 115: 38 views
Month 116: 22 views
Month 117: 25 views
Month 118: 17 views
Month 119: 37 views
Month 120: 38 views
Month 121: 37 views
Month 122: 38 views
Month 123: 43 views
Month 124: 23 views

Total Views: 3829

Total Downloads: 1982

2026 Trends

Research Identity (RIN)

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]