Chapter 5 Functional Differential Equations with State-Dependent Delays: Theory and Applications

Periodic solutions in general scalar non-autonomous models with delays

“…In the literature, we found (in historical order) the studies for general non-autonomous models [7,10,[14][15][16]18,[22][23][24]28,31,[34][35][36][37][39][40][41][42][43] with some applications for the particular models. The results obtained separately for some classical models described in the Appendix were presented in [1][2][3][4][5][6]8,9,11,13,17,[19][20][21]26,37,38].…”

Controllability of Second-Order Impulsive Functional Differential Equations With State-Dependent Delay

“…Functional differential equations with statedependent delay have become more important in some mathematical models of real phenomena. The reader is referred to [1,4,5,7,8,[11][12][13][14]32] and references therein for some examples and applications. The problem of the existence of solutions of functional differential equations with state-dependent delay has been treated recently in [2,[16][17][18][19][20]25].…”

On Monotonic Integrable Solutions for Quadratic Functional Integral Equations

“…Let us note that functional equations with state dependent delay are very useful in many mathematical models including the population dynamics, the position control or the cell biology. A very interesting survey about such a theory and their applications can be found in [33].…”