Asymptotic behavior of a certain functional equation via limiting equations
George L. Karakostas (1986)
Czechoslovak Mathematical Journal
Meng, Yijie, Wang, Yifu (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Dostanić, R.Milutin, Milinković, Z.Darko (1997)
Publications de l'Institut Mathématique. Nouvelle Série
Messina, E., Muroya, Y., Russo, E., Vecchio, A. (2008)
Discrete Dynamics in Nature and Society
Furumochi, Tetsuo (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Julie, M.Diana, Balachandran, Krishnan (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ryszard Rudnicki (1992)
Annales Polonici Mathematici
We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation . We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.
Zbigniew Kiełek (1990)
Annales Polonici Mathematici
Taşçi, Fatih, Bayramoğlu, Mehmet (2004)
APPS. Applied Sciences
Christopher T. H. Baker, Neville J. Ford (1990)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Horst R. Thieme (1979)
Journal für die reine und angewandte Mathematik
W. Hock (1979)
Numerische Mathematik
Felli, V. (2000)
Zeitschrift für Analysis und ihre Anwendungen
Mark A. Lukas (1993/1994)
Numerische Mathematik
Karol Baron, Andrzej Lasota (1993)
Annales Polonici Mathematici
New sufficient conditions for asymptotic stability of Markov operators are given. These criteria are applied to a class of Volterra type integral operators with advanced argument.
Jarosław Morchało (2002)
Mathematica Slovaca
Mingarelli, Angelo B., Sadarangani, Kishin (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Zdzislaw Jackiewicz (1984)
Numerische Mathematik
William E. Fitzgibbon (1988)
Czechoslovak Mathematical Journal
M. Ślęczka (2004)
Annales Polonici Mathematici
We study the asymptotic behaviour of solutions of a transport equation. We give some sufficient conditions for the complete mixing property of the Markov semigroup generated by this equation.