Abstract

A sufficient condition is obtained to guarantee the global asymptotic stability of the following nonlinear recursive difference equation: xn+1=xnxn−1b+xn−2b+axn−1b+xnxn−2b+a,n=0,1,2,…, where a, b [0, ∞] and the initial values x−2, x−1, x0 (0, ∞). Some known results are included and improved.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.