On a class of fourth order linear recurrence equations.
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Cheng, Sui-Sun (1984)
International Journal of Mathematics and Mathematical Sciences
Hiroshi Kawabi (2005)
Commentationes Mathematicae Universitatis Carolinae
In this paper, we prove that the regularity property, in the sense of Gehring-Giaquinta-Modica, holds for weak solutions to non-stationary Stokes type equations. For the construction of solutions, Rothe's scheme is adopted by way of introducing variational functionals and of making use of their minimizers. Local estimates are carried out for time-discrete approximate solutions to achieve the higher integrability. These estimates for gradients do not depend on approximation.
Fan, Yong-Hong, Wang, Lin-Lin (2009)
Discrete Dynamics in Nature and Society
Fritzsche, Bernd, Kirstein, Bernd, Sakhnovich, Alexander L. (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Delil, A., Evans, W.D. (1999)
Journal of Inequalities and Applications [electronic only]
Luděk Nechvátal (2014)
Mathematica Bohemica
The (modified) two-parametric Mittag-Leffler function plays an essential role in solving the so-called fractional differential equations. Its asymptotics is known (at least for a subset of its domain and special choices of the parameters). The aim of the paper is to introduce a discrete analogue of this function as a solution of a certain two-term linear fractional difference equation (involving both the Riemann-Liouville as well as the Caputo fractional -difference operators) and describe its...
Stehlík, Petr, Tisdell, Christopher C. (2005)
Boundary Value Problems [electronic only]
Ion Zaballa, Juan-Miguel Gracia (1985)
Aplikace matematiky
This work deals with the reduction of a linear nonhomogeneous periodic system in differences (recurrence relations) to another linear non-homogeneous system with constant coefficients and an independent term. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior and to obtain all solutions in closed form.
Pham Ky Anh, Le Cong Loi (2006)
Advances in Difference Equations [electronic only]
Zhang, Qiang, Wei, Xiaopeng, Xu, Jin (2007)
Discrete Dynamics in Nature and Society
Cabada, Alberto, Li, Chengyue, Tersian, Stepan (2010)
Advances in Difference Equations [electronic only]
Stehlík, Petr (2006)
Advances in Difference Equations [electronic only]
Marian Kwapisz (1992)
Aequationes mathematicae
Marian Kwapisz (1992)
Aequationes mathematicae
Chen, Lian-Ying, Zhao, Chang-Jian, Cheung, Wing-Sum (2010)
Journal of Inequalities and Applications [electronic only]
Pachpatte, B. G. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Abu-Saris, Raghib M. (2006)
Advances in Difference Equations [electronic only]
Wan, Yong, Liu, Yuji (2010)
Discrete Dynamics in Nature and Society
Startsev, Sergey Ya. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Ma, Ruyun, Luo, Hua, Gao, Chenghua (2008)
Advances in Difference Equations [electronic only]
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