Abstract
In this paper, we study the existence of traveling wave solutions in lattice differential equations with time delay and global interaction
Following an idea in [10], we are able to relate the existence of traveling wavefront to the existence of heteroclinic connecting orbits of the corresponding ordinary delay differential equations
Mathematics Subject Classification 2010(2010): Primary 34K30, 35B40; Secondary 35R10, 58D25
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Acknowledgments
Research partially supported by the National Natural Science Foundation of China (SM), by Natural Sciences and Engineering Research Council of Canada, and by a Premier Research Excellence Award of Ontario (XZ)
Received 2/20/2009; Accepted 6/30/2010
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Ma, S., Zou, X. (2013). Traveling Wavefronts in Lattice Differential Equations with Time Delay and Global Interaction. In: Mallet-Paret, J., Wu, J., Yi, Y., Zhu, H. (eds) Infinite Dimensional Dynamical Systems. Fields Institute Communications, vol 64. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4523-4_17
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DOI: https://doi.org/10.1007/978-1-4614-4523-4_17
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