Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

I am trying to explicitly solve [ if possible and if the solution exists ] a second order non-linear difference equation of the form :

$ a _ {n+2} ^2 + a_{n} ^2 + K = \lambda a_{n+1} $, where K and $\lambda$ are known positive constants ( assume K =10 and $\lambda =5 $ if you like ).

Is there any reference for it ? Or any paper that talks about the solution ?

share|cite|improve this question
For existence, have you tried numerical experimentation? – S. Carnahan Nov 28 '10 at 15:59
No, actually I am not aware of how to do that, but could you suggest a reference or so ? I study pure Mathematics, so I don't know much about numerical solutions etc . The difference equation arose part of my research. – Analysis Now Nov 29 '10 at 4:51

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.