Formulas of Bendixson and Alekseev for difference equations

Bulletin of the London Mathematical Society

Volumn 36, Issue 1, 2004, Pages 65-71

  Bohner, M ^a   Lakshmikantham, V ^a  

^a Florida Institute of Technology ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1442352764     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609303002753     Document Type: Article

References (10)

1. R. P. AGARWAL, Difference equations and inequalities (Marcel Dekker Inc., New York, 1992).
2. C. D. AHLBRANDT, M. BOHNER and J. RIDENHOUR, 'Hamiltonian systems on time scales', J. Math. Anal. Appl. 250 (2000) 561-578.
3. E. AKIN-BOHNER and M. BOHNER, 'Exponential functions and Laplace transforms for alpha derivatives', Proc. Sixth International Conference on Difference Equations, Augsburg, 2001 (ed. B. Aulbach, S. Elaydi and G. Ladas, Taylor and Francis), to appear.
4. E. AKIN-BOHNER and M. BOHNER, 'Miscellaneous dynamic equations', Methods Appl. Anal., to appear.
5. V. M. ALEKSEEV, 'An estimate for the perturbations of the solutions of ordinary differential equations', Vestnik Moskov. Univ. Ser. I Mat. Mekh. 2 (1961) 28-36.
6. M. BOHNER and A. PETERSON, Dynamic equations on time scales: an introduction with applications (Birkhäuser, Boston, 2001).
7. M. BOHNER and A. PETERSON, Advances in dynamic equations on time scales (Birkhäuser, Boston, 2003).
8. B. KAYMAKÇALAN, V. LAKSHMIKANTHAM and S. SIVASUNDARAM, Dynamic systems on measure chains, Math. Appl. 370 (Kluwer Academic Publishers Group, Dordrecht, 1996).
9. C. PÖTZSCHE, 'Chain rule and invariance principle on measure chains', J. Comput. Appl. Math. 141 (2002) 249-254; Special issue on 'Dynamic equations on time scales', ed. R. P. Agarwal, M. Bohner and D. O'Regan.
10. C. PÖTZSCHE, 'Chain rule and invariance principle on measure chains', J. Comput. Appl. Math. 141 (2002) 249-254; Special issue on 'Dynamic equations on time scales', ed. R. P. Agarwal, M. Bohner and D. O'Regan.