Weighted convergent and bounded solutions of vdterra difference systems with infinite delay

Journal of Difference Equations and Applications

Volumn 6, Issue 4, 2000, Pages 461-480

  Cuevas, C ^a  

^a UNIVERSIDAD DE LA FRONTERA   (Chile)

Author keywords

Infinite delay; Volterra difference equation; Weighted bounded solutions; Weighted convergent solutions; Weighted p summable dichotomy

Indexed keywords

EID: 0010748815     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190008808241     Document Type: Article

References (17)

1. R.P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, 1992.
2. B. Aulbach, Continuous and discrete dynamics near manifolds of equilibria. Lecture Notes in Mathematics 1058, Springer-Verlag, Berlin, New York, 1984.
3. C. Avramescu, Sur 1' existence des solutions convergentes d' equations differentielles non lineaires, Ann. Mat. Pura Appl. (IV) 81 (1969), 147-168.
4. S.S. Cheng, H.J. Li and W. Patula, Bounded and zero convergent solutions of second order difference equations, J.M.A.A. 141 (1989), 463-483.
5. A. Drozdowicz and J. Popenda, Asymptotic behavior of the solutions of the second order difference equation, Proc. Amer. Math. Soc. 99(1), 1987, 135-140.
6. S. Elaydi, S. Murakami and E. Kamiyama, Asymptotic eauivalence for difference equations with infinite delay, J. Diff. Eqs. Appl 5 (1999), 1-23.
7. T. Hallam, Convergence of solutions of perturbed nonlinear differential equations, Ann. Mat. Pura Appl. (IV) 94 (1972), 275-282.
8. T. Hallam, On convergence of solutions of functional differential equations, J.M.A.A. 48 (1974), 566-573.
9. A. Kartsatos and G. Michaelides, Existence of convergent solutions to quasi-linear systems and asymptotic equivalence, J. Diff. Eqs. 13 (1973), 481-489.
10. WG, Kelley and A.C. Peterson, Difference Equations: An Introduction with Applications, Academic Press, Inc., 1991.
11. V. Lakshmikantham and D. Trigiante, Theory of Difference Equations with Applications in Numerical Analysis, Academic Press, 1988.
12. J. Lopez and M. Pinto, Existence and uniqueness of bounded solutions for a class of difference systems with dichotomies of summable type. Proceedings of the third int. conference on difference equations and appl., Taipei, 1997, pp. 183-188.
13. R. Medina and M. Pinto, Asymptotic representation of solutions of linear second order difference equations, J.M.A.A. 165(2) (1992), 505-516.
14. R. Medina and M. Pinto, Asymptotic behavior of solutions of second order nonlinear difference equations, nonlinear analysis, T.M.A. 19(2) (1992), 187-195.
15. M. Pinto, Discrete dichotomies, Comput. Math. Appl. 28(1-3) (1994), 259-270.
16. M. Pinto, Weighted convergent and bounded solutions of difference systems, Adv. in Diff. Eqs II Comput. Math. Appl. 36 (1998), 391-400.
17. Z. Szafranski and B. Szmanda, Oscillatory properties of solutions of some difference systems, Radovi Matemicki 6 (1990), 205-241.