By using the Fourier transform method combining with the weighted energy method and some new skills, the global stability of oscillatory traveling waves for a monostable delayed equation is established. Particularly, the nonlinearity is nonlocal in the equation.
"Global Stability of Traveling Waves with Non-Monotonicity for Population Dynamics Model." Tokyo J. Math. Advance Publication 1 - 14, 2021. https://doi.org/10.3836/tjm/1502179335