Exponential dichotomies for linear systems with impulsive effects.
A remark on exponential dichotomies.
Bounded solutions for second-order ordinary differential equations.
Asymptotic instability of nonlinear differential equations.
Variation of constants formulae for difference equations with advanced arguments.
The roots of a polynomial depend continuously on its coefficients.
-bounded solutions to nonlinear difference equations with advanced arguments.
A proof of the Schauder-Tychonoff theorem.
A note on the Perron instability theorem.
Instability of discrete systems.
A conterexample in the theory of linear singularly perturbed systems
Una aplicatión del teorema de linealización de Hartman
On the instability of linear nonautonomous delay systems
The unstable properties of the linear nonautonomous delay system , with nonconstant delay , are studied. It is assumed that the linear system is unstable, the instability being characterized by a nonstable manifold defined from a dichotomy to this linear system. The delay is assumed to be continuous and bounded. Two kinds of results are given, those concerning conditions that do not include the properties of the delay function and the results depending on the asymptotic properties of the...
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