Spectral Theory for Nonlocal Dispersal with Periodic or Almost-Periodic Time Dependence
By V. Hutson, Wenxian Shen, G. Vickers. 2008
64 citations recorded by the source corpus.
Subfields: Electrical and Electronic Engineering, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5e594e17f5e632057301f319adc4d22e063a9ddf
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In Electrical and Electronic Engineering
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats (2012, unknown): “See, for example, [2], [7], [8], [10], [12], [15], [16], [19], [22], [23], [24], [26], [40], [41], for the study of spectral theory for nonlocal dispersal operators and the existence, uniqueness, and stability of nontrivial positive stationary solutions.”
- Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations (2012, background): “See, for example, [2], [6], [10], [12], [14], [19], [20], [25], [26], [30], [31], [32], [34], [53], for the study of spectral theory for nonlocal dispersal operators and the existence, uniqueness, and stability of nontrivial positive stationary solutions.”
- On Principal Spectrum Points/Principal Eigenvalues of Nonlocal Dispersal Operators and Applications (2013, unknown): “The reader is referred to [1], [2], [4], [5], [6], [7], [8], [10], [11], [16], [22], [23], [24], [26], [28], [30], [32], etc.”
- Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations (2014, background): “10), in particular, their associated principal eigenvalue problems, are extensively studied and quite well understood (see [13, 14, 15, 21, 23, 25, 30, 34], etc.”
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats (2010, unknown): “As mentioned in [33], it is not clear what the biological implications of the above dimension issue are, and further investigation is warranted.”