EVANS FUNCTIONS AND INSTABILITY OF A STANDING PULSE SOLUTION OF A NONLINEAR SYSTEM OF REACTION DIFFUSION EQUATIONS

(整期优先)网络出版时间:2016-01-11
/ 1
Inthispaper,weconsideranonlinearsystemofreactiondiffusionequationsarisingfrommathematicalneuroscienceandtwononlinearscalarreactiondiffusionequationsundersomeassumptionsontheircoefficients.Themainpurposeistocoupletogetherlinearizedstabilitycriterion(theequivalenceofthenonlinearstability,thelinearstabilityandthespectralstabilityofthestandingpulsesolutions)andEvansfunctionstoaccomplishtheexistenceandinstabilityofstandingpulsesolutionsofthenonlinearsystemofreactiondiffusionequationsandthenonlinearscalarreactiondiffusionequations.TheEvansfunctionsforthestandingpulsesolutionsareconstructedexplicitly.