| Abstract: |
| In the last years, there has been quite an interest in the theory of Stieltjes differential equations which have the important advantage of providing a unified framework to differential equations, discrete equations, dynamic equations on time scales and differential equations with impulses at fixed times. They are particularly useful for modeling evolution processes in which sudden changes and stationary periods occur.
In this talk, we present Lyapunov-type results to study the stability of an equilibrium of a Stieltjes dynamical system. We utilize prolongation results to establish the global existence of the maximal solution. We present also examples and applications to population dynamics models. |
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