A note on discrete maximal regularity for functional difference equations with infinite delay.
Cuevas, Claudio, Vidal, Claudio (2006)
Advances in Difference Equations [electronic only]
Schmidt, Andreas U. (2002)
Applied Mathematics E-Notes [electronic only]
Tang, Fengjun, Yuan, Rong (2011)
Mathematical Problems in Engineering
P. D. Siafarikas (1995)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Zhang, B.G., Xu, H.X. (1999)
Discrete Dynamics in Nature and Society
J.R. Cash (1976/1977)
Numerische Mathematik
Ashyralyev, Allaberen, Sozen, Yasar, Sobolevskii, Pavel E. (2007)
Abstract and Applied Analysis
Gelisken, Ali, Cinar, Cengiz, Karatas, Ramazan (2008)
Advances in Difference Equations [electronic only]
Anh, Bui The, Thanh, D.D.X. (2007)
Journal of Applied Mathematics
Lü, Haishen, O'Regan, Donal, Agarwal, Ravi P. (2006)
Journal of Applied Mathematics and Stochastic Analysis
Ch.H. Heiberg (1971)
Publications de l'Institut Mathématique [Elektronische Ressource]
Ivan, Mircea (1998)
General Mathematics
P. van der Cruyssen (1979)
Numerische Mathematik
Laitochová, Jitka (2006)
Advances in Difference Equations [electronic only]
Pavel Řehák (2010)
Mathematica Bohemica
The aim of this contribution is to study the role of the coefficient in the qualitative theory of the equation , where with . We discuss sign and smoothness conditions posed on , (non)availability of some transformations, and mainly we show how the behavior of , along with the behavior of the graininess of the time scale, affect some comparison results and (non)oscillation criteria. At the same time we provide a survey of recent results acquired by sophisticated modifications of the Riccati...
Jarmila Novotná (1983)
Časopis pro pěstování matematiky
Stević, Stevo (2006)
Discrete Dynamics in Nature and Society
Berg, L., Krüppel, M. (2000)
Zeitschrift für Analysis und ihre Anwendungen
Zbigniew Gajda (1987)
Aequationes mathematicae
Andrey Osipov (2016)
Concrete Operators
For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations. This enables us to describe some asymptotic behavior of the corresponding systems of vector orthogonal polynomials on the resolvent set. We also find that the operators generated by infinite Jacobi matrices have the largest resolvent set in this class.