… -depth neural networks with delay, named as Neural Delay Differential Equations (NDDEs), …
use the adjoint sensitivity method to obtain the delayed dynamics of the adjoint. Since the …

… differential equations using an optimization free neural network procedure. Here, we have
extended that work to solve delay differential equations with deeper neural … out whether neural …

… delay differential … delay differential systems. The fourth group consists of Chap. 10. In this
chapter, Qishao Lu, Qingyun Wang, and Xia Shi study the effects of delays in coupled neuronal …

… Differential Equations (PCDDEs). Here, unlike the recently proposed … Neural Delay Differential
Equations (DDEs), we transform the single delay into the piecewiseconstant delay(s). The …

… In the next section I will review some tools for analyzing delay differential equations. To
make the theory concrete, we will apply it to a particular example. Consider the following …

… problem of neural networks with mixed time-varying delays and uncertainties asymmetric …
synchronization problem of neural networks with mixed time-varying delays and uncertainties …

Our principal purposes here are (i) to consider, from the perspective of applied mathematics,
models of phenomena in the biosciences that are based on delay differential equations and …

… systems (compared with differential equations without memory). … features of stochastic delay
differential equations (SDDEs), … XIII, we study stochastic delay differential equations for the …

… Abstract Various delay differential equations, primarily … of delay differential equations. These
range from models in population biology, physiology, epidemiology, economics, and neural …

… Neural Netw 9(5):987–1000, 1998), we use Neural Networks to solve approximatively first-order
single-delay differential equations … various problems with constant delay terms and the …