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Entire solutions of delayed reaction‐diffusion equations
Author(s) -
Lv G.
Publication year - 2012
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000154
Subject(s) - reaction–diffusion system , argument (complex analysis) , diffusion , space (punctuation) , mathematics , mathematical analysis , physics , computer science , thermodynamics , chemistry , operating system , biochemistry
This paper is concerned with entire solutions of delayed reaction‐diffusion equations. Using the comparing argument and sub‐super solutions method, we obtain the existence of entire solutions which behave as two wave fronts coming from the both sides of x‐axis, where an entire solution is meant by a classical solution defined for all space and time variables.