Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations |
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| Authors: | V. T. Volkov N. N. Nefedov |
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| Affiliation: | (1) Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia |
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| Abstract: | The asymptotical method of differential inequalities is developed for a new class of periodic problems of reaction-diffusion type. The problem of the existence and Lyapunov stability of periodic solutions with internal transient layers in the case of balanced nonlinearity is studied. |
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| Keywords: | singular perturbations reaction-diffusion contrast structures internal layers |
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