Propagation Reversal for Bistable Differential Equations on Trees
Propagation Reversal for Bistable Differential Equations on Trees
.We study traveling wave solutions to bistable differential equations on infinite k-ary trees. These graphs generalize the notion of classical square infinite lattices and our results complement those for bistable lattice equations on \(\mathbb{Z}^2_{\times }\). Using comparison principles and explicit lower and upper solutions, we show that wave solutions are …