𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monotonicity of Heteroclinic Orbits and Spectral Properties of Variational Equations for Delay Differential Equations

✍ Scribed by Wenzhang Huang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
274 KB
Volume
162
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Asymptotic Properties of Delay Different
Asymptotic Properties of Delay Differential Equations
✍ Vincent Ε ltΓ©s; Jozef DΕΎurina πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 313 KB

## Abstract The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the ordinary differential equation equation image and the delay differential equation equation image by comparing these equations with a set of the first order advanced differential inequaliti

Periodic orbits in the Euler method for
Periodic orbits in the Euler method for a class of delay differential equations
✍ T. Koto πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 555 KB

Recently, we have proved that Naimark-Sacker bifurcations occur in the Euler method applied to a delay differential equation [1]. By slightly modifying the proof, it is verified that the same result holds, e.g., for another equation obtained from the equation by a change of the dependent variable. H

Regularity properties of one-leg methods
Regularity properties of one-leg methods for delay differential equations
✍ Ai-Guo Xiao; Yi-Fa Tang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 541 KB

The main purpose of this paper is to investigate the asymptotic states of one-leg methods for multidelay differential equations. In particular, the existence of spurious steady solutions and period-2 solutions in constant or variable timestep is studied, and the concepts of R[1]-regularity and R[2]-

The monotonic property and stability of
The monotonic property and stability of solutions of fractional differential equations
✍ Sung Kyu Choi; Namjip Koo πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 225 KB

In this paper we improve on the monotone property of Lemma 1.7.3 in Lakshmikantham et al. (2009) [5] for the case g(t, u) = Ξ»u with a nonnegative real number Ξ». We also investigate the Mittag-Leffler stability of solutions of fractional differential equations by using the fractional comparison princ