Racines de quelques équations transcendantes. Intégration d'une équation aux différences mêlées
Reduction of the modified Poincaré differential equation to Birkhoff matrix form.
Regularly Varying Solutions of Perturbed Euler Differential Equations and Related Functional Differential Equations
Relationship between different types of stability for linear almost periodic systems in Banach spaces.
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.
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.
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.