TY - JOUR
T1 - On the existence of traveling waves for delayed reaction-diffusion equations
AU - Wang, Haiyan
N1 - Funding Information: Supported by a SRCA grant from the New College of Interdisciplinary Arts and Sciences at Arizona State University. E-mail address: [email protected].
PY - 2009/8/1
Y1 - 2009/8/1
N2 - We study the existence of traveling wave solutions for reaction-diffusion equations with nonlocal delay, where reaction terms are not necessarily monotone. The existence of traveling wave solutions for reaction-diffusion equations with nonlocal delays is obtained by combining upper and lower solutions for associated integral equations and the Schauder fixed point theorem. The smoothness of upper and lower solutions is not required in this paper.
AB - We study the existence of traveling wave solutions for reaction-diffusion equations with nonlocal delay, where reaction terms are not necessarily monotone. The existence of traveling wave solutions for reaction-diffusion equations with nonlocal delays is obtained by combining upper and lower solutions for associated integral equations and the Schauder fixed point theorem. The smoothness of upper and lower solutions is not required in this paper.
KW - Delay
KW - Schauder fixed point theorem
KW - Traveling waves
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U2 - 10.1016/j.jde.2009.04.002
DO - 10.1016/j.jde.2009.04.002
M3 - Article
SN - 0022-0396
VL - 247
SP - 887
EP - 905
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 3
ER -