1. Asymptotic behavior of solutions of nonlinear difference equations
- Creator:
- Migda, Janusz
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- difference equation and asymptotic behavior
- Language:
- English
- Description:
- The nonlinear difference equation (E) xn+1 − xn = anϕn(xσ(n) ) + bn, where (an), (bn) are real sequences, ϕn : −→ , (σ(n)) is a sequence of integers and lim n−→∞ σ(n) = ∞, is investigated. Sufficient conditions for the existence of solutions of this equation asymptotically equivalent to the solutions of the equation yn+1 − yn = bn are given. Sufficient conditions under which for every real constant there exists a solution of equation (E) convergent to this constant are also obtained.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public