The Hartman-Wintner theorem on asymptotic integration is established for a certain class of functional differential equations with nonlinear perturbations, by looking them as abstract ordinary differential equations. Results for delay differential equations are included in this study. Consequences a
An asymptotic theory for retarded functional difference equations
โ Scribed by C. Cuevas; L. Del Campo
- Book ID
- 108076922
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 963 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
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๐ SIMILAR VOLUMES
In this paper, we show asymptotic formulae for solutions of the nonlinear functional difference equation y(n + 1) = L(yn) + V(n, yn) + f(n, Yn), where yn(O) = y(n + O) for 0 โข {-r, -r + 1,..., 0}, L, V(n, .) are linear applications, and f(n, .) is not necessarily linear defined from {-r,-r+ 1,... ,0
The aim of the present paper is to investigate the asymptotic behavior of the solutions of the asymptotically autonomous retarded functional differential equa-ลฝ . ลฝ . tion x t s Lx q M t x . We obtain a convergence result without assuming that หt t 5 ลฝ .5 M t is in L , 1 F p -qฯฑ. Moreover, we give b