Convergence Results on a Second-Order Rational Difference Equation with Quadratic Terms | Zendy

David M. Chan | Zendy; Candace M. Kent | Zendy; Norma Ortiz-Robinson | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Convergence Results on a Second-Order Rational Difference Equation with Quadratic Terms

Author(s) -

David M. Chan,

Candace M. Kent,

Norma Ortiz-Robinson

Publication year - 2009

Publication title -

advances in difference equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.67

H-Index - 51

eISSN - 1687-1847

pISSN - 1687-1839

DOI - 10.1155/2009/985161

Subject(s) - mathematics , infinity , zero (linguistics) , monotonic function , ordinary differential equation , convergence (economics) , order (exchange) , window (computing) , partial differential equation , quadratic equation , mathematical analysis , differential equation , geometry , finance , economic growth , economics , philosophy , linguistics , computer science , operating system

We investigate the global behavior of the second-order difference equation Open image in new window , where initial conditions and all coefficients are positive. We find conditions on Open image in new window under which the even and odd subsequences of a positive solution converge, one to zero and the other to a nonnegative number; as well as conditions where one of the subsequences diverges to infinity and the other either converges to a positive number or diverges to infinity. We also find initial conditions where the solution monotonically converges to zero and where it diverges to infinity.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research