Concepedia

Traveling fronts for a class of non-local convolution differential equations

Bard Ermentrout, Bryce McLeod

Applicable Analysis · 1997 · 21 citations · 13 references

DOI

Concepts

Abstract

The existence of traveling fronts for a class of non-local convolution differential equation is proved. The technique of proof is to use a continuation agrument.

References

13

The approach of solutions of nonlinear diffusion equations to travelling front solutions

Paul C. Fife, J. B. McLeod · Archive for Rational Mechanics and Analysis · 1977 · 1.2K citations

, , +14

Cellular Mechanisms of a Synchronized Oscillation in the Thalamus

Marcus Krosigk von, Thierry Bal, David A. McCormick · Science · 1993 · 843 citations

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Physiological basis of the alpha rhythm

Dominick P. Purpura · Electroencephalography and Clinical Neurophysiology · 1969 · 598 citations

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Traveling Waves in a Convolution Model for Phase Transitions

Peter W. Bates, Paul C. Fife, Xiaofeng Ren et al. · Archive for Rational Mechanics and Analysis · 1997 · 559 citations

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Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations

Xinfu Chen · Advances in Differential Equations · 1997 · 453 citations · Full text

, , +16