Exponential dichotomies for linear non-autonomous functional differential equations of mixed type

By J. Härterich, Bjorn Sandstede, Arnd Scheel. 2002

67 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5f7037ae3bd316e363ce824e20884d905941cf1d

How researchers see this paper

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

In Control and Systems Engineering

1. John Mallet-Paret
2. Bjorn Sandstede
3. Ale Jan Homburg
4. Arnd Scheel

In Mathematical Physics

1. John Mallet-Paret
2. Ale Jan Homburg
3. Bjorn Sandstede

In Numerical Analysis

1. John Mallet-Paret
2. Bjorn Sandstede
3. Ale Jan Homburg
4. Arnd Scheel

Citations in the corpus

• Exponential Dichotomies and Wiener-Hopf Factorizations for Mixed-Type Functional Differential Equations (2001, methodology): “backward exponential estimates, as in our Theorem 4.2. The techniques employed in [ 23 ] are based”
• Center Manifold Theory for Functional Differential Equations of Mixed Type (2007, unknown): “[24].”
• A Variant of Newton's Method for the Computation of Traveling Waves of Bistable Differential-Difference Equations (2002, background): “Recently there has been some work on general systems of such mixed functional differential equations, most notably the work of Rustichini [36, 37], Mallet-Paret [28, 29], Mallet-Paret and Verduyn Lunel [31], and Harterich et al. [ 25 ].”
• Homoclinic and heteroclinic bifurcations in vector fields (2010, background): “Recently, however, the existence of exponential dichotomies was established for FDEs; see [170, 266].”