A Numerical Method to Boundary Value Problems for Second Order Delay Differential Equations.
A panorama of geometrical optimal control theory.
A parabolic differential equation with unbounded piecewise constant delay.
A parameter robust method for singularly perturbed delay differential equations.
A Perron-type theorem for nonautonomous delay equations
We show that if the Lyapunov exponents of a linear delay equation x′ = L(t)x t are limits, then the same happens with the exponential growth rates of the solutions to the equation x′ = L(t)x t + f(t, x t) for any sufficiently small perturbation f.
A pole assignment technique for multivariable systems with input delay
A Poster about the Old History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010. The poster accompanying the present note illustrates the major contributions during the period 1695-1970, the "old history" of FC.
A Poster about the Recent History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development. The accompanying poster illustrates the major contributions during the period 1966-2010.
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 prey-predator model with an alternative food for the predator, harvesting of both the species and with a gestation period for interaction.
A remark on second order functional-differential systems
It is proved that under some conditions the set of solutions to initial value problem for second order functional differential system on an unbounded interval is a compact -set and hence nonvoid, compact and connected set in a Fréchet space. The proof is based on a Kubáček’s theorem.
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...
A second-order nonlinear problem with two-point and integral boundary conditions.
A singular boundary value problem for neutral equations.
A singular functional-differential equation.
A singular initial value problem for some functional differential equations.
A singular perturbation problem in integrodifferential equations.
A sufficient condition for GPN-stability for delay differential equations.
A survey and some new results on the existence of solutions of IPBVPs for first order functional differential equations
This paper deals with the periodic boundary value problem for nonlinear impulsive functional differential equation We first present a survey and then obtain new sufficient conditions for the existence of at least one solution by using Mawhin’s continuation theorem. Examples are presented to illustrate the main results.