A boundary value problem for non-linear differential equations with a retarded argument
A branching method for studying stability of a solution to a delay differential equation.
A class of competing models with discrete delay
A class of singularly perturbed evolution systems.
A classification scheme for positive solutions to second order nonlinear iterative differential equations.
A compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.
A Comparison Method for Forced Oscillations.
A comparison theorem for linear delay differential equations
In this paper property (A) of the linear delay differential equation is to deduce from the oscillation of a set of the first order delay differential equations.
A criterion for convergence of solutions of homogeneous delay linear differential equations
The linear homogeneous differential equation with variable delays is considered, where , I = [t₀,∞), ℝ⁺ = (0,∞), on I, the functions , j=1,...,n, are increasing and the delays are bounded. A criterion and some sufficient conditions for convergence of all solutions of this equation are proved. The related problem of nonconvergence is also discussed. Some comparisons to known results are given.
A criterion for the global attractivity of scalar population models with delay.
A delayed chemostat model with impulsive diffusion and input on nutrients.
A delayed epidemic model with pulse vaccination.
A delayed mathematical model for testosterone secretion with feedback control mechanism.
A differential equation model of HIV infection of CD4 T-cells with delay.
A direct approach to the Weiss conjecture for bounded analytic semigroups
We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded -calculus and is based on elementary analysis.
A functional-differential equation in a Banach space
A general framework for stability analysis of gene regulatory networks with delay.
A Harnack inequality for solutions of difference differential equations of elliptic-parabolic type.
A linear functional differential equation with distributions in the input.
A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations.