On stability of differential equations with piecewise constant argument using dichotomic maps
| dc.contributor.author | Marconato, S. A S [UNESP] | |
| dc.contributor.author | Bená, M. A. | |
| dc.contributor.author | Spezamiglio, A. [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Universidade de São Paulo (USP) | |
| dc.date.accessioned | 2014-05-27T11:25:28Z | |
| dc.date.available | 2014-05-27T11:25:28Z | |
| dc.date.issued | 2011-02-08 | |
| dc.description.abstract | This paper deals with the study of the basic theory of existence, uniqueness and continuation of solutions of di®erential equations with piecewise constant argument. Results about asymptotic stability of the equation x(t) =-bx(t) + f(x([t])) with argu- ment [t], where [t] designates the greatest integer function, are established by means of dichotomic maps. Other example is given to illustrate the application of the method. Copyright © 2011 Watam Press. | en |
| dc.description.affiliation | Department of Mathematics UNESP, 13506-900 - Rio Claro, SP | |
| dc.description.affiliation | Department of Physics and Mathematics USP, 14040-901 - Ribeirão Preto, SP | |
| dc.description.affiliation | Department of Mathematics Unesp, 15054-000 - São Josédo Rio Preto, SP | |
| dc.description.affiliationUnesp | Department of Mathematics UNESP, 13506-900 - Rio Claro, SP | |
| dc.description.affiliationUnesp | Department of Mathematics Unesp, 15054-000 - São Josédo Rio Preto, SP | |
| dc.format.extent | 257-268 | |
| dc.identifier | http://emis.mi.ras.ru/ZMATH/msc/en/search/zmath/?q=an:1215.34090&format=complete | |
| dc.identifier.citation | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v. 18, n. 2, p. 257-268, 2011. | |
| dc.identifier.issn | 1201-3390 | |
| dc.identifier.scopus | 2-s2.0-79551581258 | |
| dc.identifier.uri | http://hdl.handle.net/11449/72308 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis | |
| dc.relation.ispartofsjr | 0,221 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Scopus | |
| dc.subject | Dichotomic maps | |
| dc.subject | Liapunov stability | |
| dc.subject | Piecewise constant argument | |
| dc.title | On stability of differential equations with piecewise constant argument using dichotomic maps | en |
| dc.type | Artigo | |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claro | pt |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |
| unesp.department | Matemática - IGCE | pt |