Product integration on time scales

Dynamic Systems and Applications

Volumn 19, Issue 1, 2010, Pages 97-112

  Slavík, Antonín ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Linear dynamic system; Matrix exponential; Product integral; Regressive function

Indexed keywords

EID: 77953012977     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston, 2001.
2. M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkhäuder, Boston, 2003.
3. J. J. DaCunha, Transition matrix and generalized matrix exponential via the Peano-Baker series, J. Difference Equ. Appl. 11, No. 15, 1245-1264 (2005).
4. J. D. Dollard and C. N. Friedman, Product Integration with Applications to Differential Equations, Addison-Wesley Publishing Company, Reading, Massachusetts, 1979.
5. R. D. Gill and S. Johansen, A survey of product integration with a view toward application in survival analysis, Ann. Stat. 18, No. 4, 1501-1555 (1990).
6. G. Sh. Guseinov, Integration on time scales, J. Math. Anal. Appl. 285, No. 1, 107-127 (2003).
7. P. R. Masani, Multiplicative Riemann integration in normed rings, Trans. Am. Math. Soc. 61, 147-192 (1947).
8. L. Schlesinger, Neue Grundlagen für einen Infinitesimalkalkul der Matrizen, Math. Z. 33, 33-61 (1931).
9. A. Slavík, Product Integration, its History and Applications, Matfyzpress, Prague, 2007.
10. V. Volterra and B. Hostinský, Opérations infinitésimales linéaires, Gauthier-Villars, Paris, 1938.