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An asymptotic theory for nonlinear functional differential equations

โœ Scribed by S. Castillo; M. Pinto

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
582 KB
Volume
44
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 and applications are also shown. (~) 2002 Elsevier Science Ltd. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

Asymptotic formulae for nonlinear functi
Asymptotic formulae for nonlinear functional difference equations
โœ S. Castillo; M. Pinto ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 327 KB

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 โ€ข {-r, -r + 1,..., 0}, L, V(n, .) are linear applications, and f(n, .) is not necessarily linear defined from {-r,-r+ 1,... ,0