Remark in connection with an article of G. G. Hamedani: “Global existence of solutions of certain functional-differential equations” [Časopis Pěst. Mat. 106 (1981), 48-51]
Remark to transformations of functional-differential equations of the first order
Remark to transformations of linear differential and functional-differential equations
For linear differential and functional-differential equations of the -th order criteria of equivalence with respect to the pointwise transformation are derived.
Remarks on existence of positive solutions of some integral equations
We study the existence of positive solutions of the integral equation in both and spaces, where and . Throughout this paper is nonnegative but the nonlinearity may take negative values. The Krasnosielski fixed point theorem on cone is used.
Remarque sur la stabilité dans le cas d'une équation linéaire à paramètre retardé avec une perturbation non linéaire
Remarque sur une propriété asymptotique des solutions d'une équation différentielle à paramètre retardé
Representation of solutions of linear discrete systems with constant coefficients and pure delay.
Resolvent of nonautonomous linear delay functional differential equations
The aim of this paper is to give a complete proof of the formula for the resolvent of a nonautonomous linear delay functional differential equations given in the book of Hale and Verduyn Lunel [9] under the assumption alone of the continuity of the right-hand side with respect to the time,when the notion of solution is a differentiable function at each point, which satisfies the equation at each point, and when the initial value is a continuous function.
Retarded Actions on Oscillations
Retarded differential equations by the extrapolation method. (Équations différentielles à retard par la méthode d'extrapolation.)
Retarded functional differential equations in Banach spaces and Henstock-Kurzweil-Pettis integrals
We prove an existence theorem for the equation x' = f(t,xₜ), x(Θ) = φ(Θ), where xₜ(Θ) = x(t+Θ), for -r ≤ Θ < 0, t ∈ Iₐ, Iₐ = [0,a], a ∈ R₊ in a Banach space, using the Henstock-Kurzweil-Pettis integral and its properties. The requirements on the function f are not too restrictive: scalar measurability and weak sequential continuity with respect to the second variable. Moreover, we suppose that the function f satisfies some conditions expressed in terms of the measure of weak noncompactness.
Robust H control for a class of uncertain neutral systems with both state and control input time-varying delays via a unified LMI optimization approach
Robust stability and stabilization of a class of uncertain nonlinear systems with delays.
Robustness with respect to small time-varied delay for linear dynamical systems on Banach spaces
Under suitable conditions we prove the wellposedness of small time-varied delay equations and then establish the robust stability for such systems on the phase space of continuous vector-valued functions.
Second method of Lyapunov and existence of periodic solutions of linear impulsive differential-difference equations.
Second method of Lyapunov for stability of linear impulsive differential-difference equations with variable impulsive perturbations.
Second order evolution equations with parameter
We give some theorems on continuity and differentiability with respect to (h,t) of the solution of a second order evolution problem with parameter . Our main tool is the theory of strongly continuous cosine families of linear operators in Banach spaces.
Second Order Nonlinear Oscillation - Deviating Arguments.
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints
Second-order differential equations with deviating arguments.