Boundary layer phenomena for differential-delay equations with state-dependent time lags: III

By John Mallet-Paret, Roger D. Nussbaum. 2003

58 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4b542b7701d1373d9214610d5397bc9ef7ed7d2d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Shigui Ruan
2. Roger D. Nussbaum
3. John Mallet-Paret
4. Jianhong Wu
5. Qingwen Hu
6. Pierre Magal
7. Zhihua Liu
8. Emilia M. Fridman

In Numerical Analysis

1. Shigui Ruan
2. Jianhong Wu
3. John Mallet-Paret
4. Roger D. Nussbaum
5. Emilia M. Fridman

Citations in the corpus

• Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations (2011, background): “It is known from [43] that as ε → 0, the asymptotic shape of any SOPS of (1.1) has the form of a sawtooth in the following sense.”
• Global Hopf bifurcation for differential equations with state-dependent delay (2010, background): “See [3,7,23,26–31,34–36,39–41,43] for other relevant studies on periodic solutions of state-dependent delay differential equations.”
• DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS (2006, background): “Then for each λ > λ0 the equation x′(t) = −λx(t) + λf(x(t− r(x(t)))) has an SOP solution xλ(t) such that −B xλ(t) A for all t. Mallet-Paret and Nussbaum (1996, 2003) studied the shape of general periodic solutions of the equation (11.4) and their limiting profile as ε → 0+.”