Controllability of Neutral Evolution Integrodifferential Systems with State Dependent Delay

Wellposedness of abstract differential equations with state‐dependent delay

“…For ordinary differential equations, we note only the interesting papers by Büger & Martin [3] and Si & Wang [31]. Related abstract second order ordinary differential equations with applications to partial differential equations, we cite [2,[4][5][6][7]19,26,30] and the references therein. We note that in most of the works involving PDE (with exception of [4]), the uniqueness of solution (which is a relevant topic with important implications) is not discussed.…”

Traveling wave solutions for a neutral reaction–diffusion equation with non-monotone reaction

“…aqu(tr, x)g u(t, x)qu(tr, x) , and established the existence and global continuation of rotating waves. In the last few decades, neutral equations have been investigated wildly, and a variety of themes have been touched, such as the existence and uniqueness, regularity and stability of solutions [1,4,9,11,14,16,28], periodic solutions [10,24], controllability [23], and so on. But, to the best of our knowledge, there are few works that treat the traveling wave solution of partial neutral functional equations [12,13,20].…”

Periodic solutions of abstract functional differential equations with state‐dependent delay

“…For this reason, the theory of functional differential equations with state-dependent delay has become, in recent years, an attractive area of research. We mention the works [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and the references therein for information on recent results in this area.…”