On Regulated Solutions of Impulsive Differential Equations with Variable Times

Mathematics

Valeria Marraffa¹  Diana Caponetti¹  Mieczysław Cichoń² 

[1] Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy;Faculty of Mathematics and Computer Science, A. Mickiewicz University, ul. Uniwersytetu Poznańskiego 4, 61-614 Poznań, Poland;

关键词: regulated function;    solution set;    discontinuous function;    impulsive problem with variable times;   

DOI  :  10.3390/math8122164

来源: DOAJ

【 摘 要 】

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 aims of the paper is to give sufficient conditions to ensure that a regulated solution of an impulsive problem is globally defined.

【 授权许可】

Unknown