In this paper we investigate the unified theory for solutions of differential equations without impulses and with impulses, even at variable times, allowing the presence of beating phenomena, in the space of regulated functions. One of the aim of the paper is to give sufficient conditions to ensure that a regulated solution of an impulsive problem is globally defined.
Diana Caponetti, Mieczys{l}aw Cicho'n, Valeria Marraffa (2020). On regulated solutions of impulsive differential equations with variable times. MATHEMATICS, 8(12), 1-15 [10.3390/math8122164].
On regulated solutions of impulsive differential equations with variable times
Diana Caponetti;Valeria Marraffa
2020-01-01
Abstract
In this paper we investigate the unified theory for solutions of differential equations without impulses and with impulses, even at variable times, allowing the presence of beating phenomena, in the space of regulated functions. One of the aim of the paper is to give sufficient conditions to ensure that a regulated solution of an impulsive problem is globally defined.
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