Asymptotic Behavior of a Poincaré Recurrence System

Journal of Approximation Theory

Volumn 91, Issue 2, 1997, Pages 226-243

  Pituk, Mihály ^a  

^a UNIVERSITY OF PANNONIA   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000320314     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.3095     Document Type: Article

References (10)

1. R. P. Agarwal, M. Pituk, Convergence to equilibria in recurrence equations, Comput. Math. Appl.
2. Coffman C. V. Asymptotic behavior of solutions of ordinary differenceequations. Trans. Amer. Math. Soc. 110:1964;22-51.
3. Halmos P. R. Finite-Dimensional Vector Spaces. 1974;Springer-Verlag, New York.
4. Li Z. The asymptotic estimates of solutions of differenceequations. J. Math. Anal. Appl. 94:1983;181-192.
5. Máté A., Nevai P. A generalization of Poincaré's theorem forrecurrence equations. J. Approx. Theory. 63:1990;92-97.
6. A. Máté, P. Nevai, W. Van Assche, 1988, The support of measures associated with orthogonal polynomialsand the spectra of the related self-adjoint operators.
7. Pituk M. Asymptotic behavior of a Poincaré differenceequation. J. Differ. Equations Appl. 3:1997;33-53.
8. Poincaré H. Sur les équations linéaires aux différentielleset aux différences finies. Amer. J. Math. 7:1885;203-258.
9. Trench W. F. Asymptotic behavior of solutions of Poincarédifference equations. Proc. Amer. Math. Soc. 119:1993;431-438.
10. Trench W. F. Asymptotic behavior of solutions of Poincarérecurrence systems. Comput. Math. Appl. 28:1994;317-324.