Existence results for second-order impulsive neutral functional differential equations with nonlocal conditions.
Existence results for second-order neutral functional differential and integrodifferential inclusions in Banach spaces.
Existence theorems for nonlinear functional differential equations of neutral type.
Explicit asymptotic stability criteria for neutral differential equations with two delays.
Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients.
Fixed point techniques and stability in nonlinear neutral differential equations with variable delays
Forced oscillations of first order nonlinear neutral differential equations.
Formulas of variation for a solution of neutral differential equations with continuous initial condition.
Fuzzy solutions for neutral functional differential equations with nonlocal conditions.
Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Improved robust stability criteria of uncertain neutral systems with mixed delays.
Impulsive neutral functional differential inclusions with variable times.
Initial and Boundary Value Problems for Functional Differential Equations via the Topological Transversality Method: A Survey
Input-to-state stability of neutral type systems
We consider the system (ẋ(t) ≡ dx(t)/dt), where x(t) is the state, u(t) is the input, R(τ),R̃(τ) are matrix-valued functions, and F is a causal (Volterra) mapping. Such equations enable us to consider various classes of systems from the unified point of view. Explicit input-to-state stability conditions in terms of the L²-norm are derived. Our main tool is the norm estimates for the matrix resolvents, as well as estimates for fundamental solutions of the linear parts of the considered systems,...
Interval oscillation of second-order Emden-Fowler neutral delay differential equations.
Landau-type inequalities and -bounded solutions of neutral delay systems.
Linear FDEs in the frame of generalized ODEs: variation-of-constants formula
We present a variation-of-constants formula for functional differential equations of the form where is a bounded linear operator and is a regulated function. Unlike the result by G. Shanholt (1972), where the functions involved are continuous, the novelty here is that the application is Kurzweil integrable with in an interval of , for each regulated function . This means that may admit not only many discontinuities, but it can also be highly oscillating and yet, we are able to obtain...
Linearized comparison criteria for a nonlinear neutral differential equation
A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.
Linearized oscillation of even order nonlinear neutral delay differential equations.
Linearized oscillation results for even-order neutral differential equations