The development of the situation around Covid-19 is an urgent problem for the whole world,
and it is still not known exactly how the pandemic will develop. However, based on the data …

We study the existence and uniqueness of C 1+ α-strict solutions for a general class of
abstract differential equations with state dependent delay. We also study the local well …

We consider the abstract algebraic-delay differential system, Here A is a linear operator on
D (A)⊂ X satisfying the Hille–Yosida conditions, x (t)∈ D (A)¯⊂ X, and a (t)∈ Rn, where X …

We construct analytic quasi-periodic solutions of a state-dependent delay differential
equation with quasi-periodically forcing. We show that if we consider a family of problems …

Consider the abstract algebraic-delay differential system,\begin {eqnarray*} x'(t) &= & Ax (t)+
F (x (t), a (t)),\\a (t) &= & H (x_t, a_t).\end {eqnarray*} Here $ A $ is a linear operator on $ D …

In this paper, we use the parameterization method to construct quasi-periodic solutions of
state-dependent delay differential equations. For example {̇ x (t) &= f (θ, x (t), ϵ x (t-τ (x …

We study the existence, uniqueness and qualitative properties of global solutions of abstract
differential equations with state-dependent delay. Results on the existence of almost …

In this study, we study a nonlinear age-structured population models with discontinues
mortality and fertility rates, motivated by the fact that different maturation period may cause …

We consider state-dependent delay equations (SDDEs) obtained by adding delays to a
planar ODE with a limit cycle. Situations of this type appear in models of several physical …

We propose a coupled system of delay-algebraic equations to describe tick attaching and
host grooming behaviors in the tick-host interface, and use the model to understand how this …