A branching method for studying stability of a solution to a delay differential equation.
A note on a nonlinear functional differential system with feedback control.
A note on the periodicity in difference equations
A notion of boundedness for hyperfunctions and Massera type theorems
For some classes of periodic linear ordinary differential equations and functional equations, it is known that the existence of a bounded solution in the future implies the existence of a periodic solution. In order to think on such phenomena for hyperfunction solutions to linear functional equations, we introduced a notion of bounded hyperfunctions, and translated the problems into the problems on analytic solutions to some equations in complex domains. In this article, after...
A predator-prey Gompertz model with time delay and impulsive perturbations on the prey.
A predator-prey model in the chemostat with time delay.
A rigidity phenomenon for the Hardy-Littlewood maximal function
The Hardy-Littlewood maximal function ℳ and the trigonometric function sin x are two central objects in harmonic analysis. We prove that ℳ characterizes sin x in the following way: Let be a periodic function and α > 1/2. If there exists a real number 0 < γ < ∞ such that the averaging operator has a critical point at r = γ for every x ∈ ℝ, then f(x) = a + bsin(cx+d) for some a,b,c,d ∈ ℝ. This statement can be used to derive a characterization of trigonometric functions as those nonconstant...
Almost homoclinic solutions for a certain class of mixed type functional differential equations
We shall be concerned with the existence of almost homoclinic solutions for a class of second order functional differential equations of mixed type: , where t ∈ ℝ, q ∈ ℝⁿ and T>0 is a fixed positive number. By an almost homoclinic solution (to 0) we mean one that joins 0 to itself and q ≡ 0 may not be a stationary point. We assume that V and u are T-periodic with respect to the time variable, V is C¹-smooth and u is continuous. Moreover, f is non-zero, bounded, continuous and square-integrable....
Almost-periodic solution for BAM neural networks.
An epidemic model with a time delay in transmission
We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.
An optimal condition for the uniqueness of a periodic solution for linear functional differential systems.
Analysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environment.
Anti-periodic solutions for a class of third-order nonlinear differential equations with a deviating argument.
Anti-periodic solutions for high-order cellular neural networks with time-varying delays.
Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions.
Bifurcation analysis for a delayed predator-prey system with stage structure.
Bifurcation analysis in a kind of fourth-order delay differential equation.
Bifurcation analysis of a Kaldor-Kalecki model of business cycle with time delay.
Bifurcation analysis on a delayed SIS epidemic model with stage structure.
Bounded and periodic solutions of nonlinear integro-differential equations with infinite delay.