Sub-exponential Solutions of Multidimensional Difference Equations

Multidimensional Systems and Signal Processing

Volumn 8, Issue 4, 1997, Pages 369-385

  Veit, Jan ^a  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

Multidimensional difference equations; Non linear difference equations; Recursive solutions; Sub exponential solutions

Indexed keywords

NONLINEAR EQUATIONS; RECURSIVE FUNCTIONS; THEOREM PROVING;

MULTIDIMENSIONAL DIFFERENCE EQUATIONS; SUB EXPONENTIAL SOLUTIONS;

DIFFERENCE EQUATIONS;

EID: 0031257885     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008276507450     Document Type: Article

References (14)

1. H. Poincaré, "Sur les Équations aux Différentielles Ordinaires et aux Différences Finies," Amer. J. Math, vol. 7, 1885, pp. 213-217, 237-258.
2. O. Perron, "Über Einen Satz des Herrn Poincaré," J. Reine und Angew. Mathematik, vol. 136, 1909, pp. 17-37.
3. A. Gelfond: Differenzenrechnung, Berlin: VEB Deutscher Verlag der Wissenschaften, 1958.
4. R. J. Kooman, "Convergence Properties of Recurrence Sequences," Thesis, Rijksuniversiteit te Leiden, 1989.
5. N. K. Bose, Applied Multidimensional Systems Theory, New York: Van Norstrand Reinhold, 1982.
6. T. Kaczorek, Twodimensional Linear Systems, New York: Springer Verlag, 1985.
7. R. P. Agarval, Difference Equations and Inequalities, New York: Marcel Dekker, 1992.
8. C. de Boor, K. Höllig, and S. Riemenschneider, "Fundamental Solutions of Multivariate Difference Equations," J. Amer. Math., vol. 111, 1989, pp. 403-415.
9. R. Lynch, "Fundamental Solutions of Nine-Points Discrete Laplacians," Appl. Numer. Math., vol. 10, 1992, pp. 325-364.
10. J. Veit, "Boundary Value Problems for Partial Difference Equations," Multidimensional Systems and Signal Processing, vol. 7, 1996, pp. 113-134.
11. M. Bosák and J. Gregor, "On Generalized Difference Equations," Applic. Math. (Prague), vol. 32, 1987, pp. 224-239.
12. R. Vích, Z-transform Theory and Applications, D. Reidel Publishing Company, 1987.
13. J. Gregor, "The Multidimensional Z-transform and its Use in Solutions of Partial Difference Equations," Kybernetika (Prague), vol. 24, 1988, pp. 1-40.
14. Yi-Zhong Lin and Sui Sun Cheng, "Stability Criteria for Two Partial Difference Equations," preprint.