On The Positive Solutions Of The Difference Equation Xn+1=axn-11+ ...

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Abstract

We study the positive solutions of the difference equation x"n"+"1=ax"n"-"11+bx"nx"n"-"1, n=0,1,2,... where a, b, x"-"1 and x"0 are non-negative real numbers.

References

[1]C. Çinar, On the positive solutions of the difference equation xn+1=xn-11+xnxn-1. Applied Mathematics and Computation, in pressCrossrefGoogle Scholar[2]Zhang, D.C., Shi, B. and Gai, J., A rational recursive sequence. Computers and Mathematics with Applications. v41. 301-306.Google Scholar[3]Camouzis, E., Ladas, G., Rodrigues, I.W. and Northshield, S., The rational recursive sequence xn+1=bxn21+xn-12. Computers and Mathematics with Applications. v28. 37-43.Google Scholar

Cited By

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• Elsayed E(2009)Qualitative Properties for a Fourth Order Rational Difference EquationActa Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications10.1007/s10440-009-9463-z110:2(589-604)Online publication date: 20-Feb-2009https://dl.acm.org/doi/10.1007/s10440-009-9463-z

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Published In

Applied Mathematics and Computation Volume 156, Issue 2September, 2004284 pagesISSN:0096-3003Issue’s Table of Contents Copyright © Elsevier Inc. © 2003.

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Elsevier Science Inc.

United States

Publication History

Published: 01 September 2004

Author Tags

1. Difference equation
2. Positive solutions
3. Recursive sequence

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• Elsayed E(2009)Qualitative Properties for a Fourth Order Rational Difference EquationActa Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications10.1007/s10440-009-9463-z110:2(589-604)Online publication date: 20-Feb-2009https://dl.acm.org/doi/10.1007/s10440-009-9463-z

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Cengiz ÇinarDepartment of Mathematics, Faculty of Education, Selcuk University, 42090 Meram, Konya, TurkeyView Profile Go toGo toShow all referencesRequest permissionsExpand All Collapse Expand TableAuthors Info & Affiliations View Issue’s Table of Contents

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