On asymptotic behavior for reaction diffusion equation with small time delay (Q657098)

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scientific article; zbMATH DE number 5997777
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On asymptotic behavior for reaction diffusion equation with small time delay
scientific article; zbMATH DE number 5997777

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    On asymptotic behavior for reaction diffusion equation with small time delay (English)
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    16 January 2012
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    Summary: We investigate the asymptotic behavior of the scalar diffusion equation with small time delay \[ u_t - \Delta u = f(u(t),u (t - \tau)). \] Roughly speaking, any bounded solution will enter and stay in the neighborhood of one equilibrium when the equilibria are discrete.
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    small time delay
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