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Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems

Authordc.contributor.authorPinto Jiménez, Manuel 
Admission datedc.date.accessioned2018-12-20T14:12:48Z
Available datedc.date.available2018-12-20T14:12:48Z
Publication datedc.date.issued2011
Cita de ítemdc.identifier.citationJournal of Difference Equations and Applications, Volumen 17, Issue 2, 2018, Pages 235-254
Identifierdc.identifier.issn10236198
Identifierdc.identifier.issn15635120
Identifierdc.identifier.other10.1080/10236198.2010.549003
Identifierdc.identifier.urihttp://repositorio.uchile.cl/handle/2250/154814
Abstractdc.description.abstractIn this paper, we study differential equations with piecewise constant argument of generalized (DEPCAGs) type, i.e., the argument is a general step function. They are hybrid equations combining properties of continuous and discrete equations. The play of the discrete part is always very important. The explicit solutions of the homogeneous and non-homogeneous linear DEPCAGs systems are obtained. Existence, uniqueness and stability of the solutions of the quasilinear DEPCAGs are under discussion. All previous results are improved. The importance of the advanced and delayed intervals will be clear. Cauchy and Green matrices type are deduced. The integral representation and Gronwall's inequality type obtained can be fruitfully applied to the investigation of stability, oscillations, controllability and many other problems of DEPCAGs. © 2011 Taylor & Francis.
Lenguagedc.language.isoen
Type of licensedc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
Link to Licensedc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
Sourcedc.sourceJournal of Difference Equations and Applications
Keywordsdc.subjectCauchy and Green matrices
Keywordsdc.subjectGronwall's inequality
Keywordsdc.subjectHybrid equations
Keywordsdc.subjectPiecewise constant arguments
Keywordsdc.subjectStability of solutions
Títulodc.titleCauchy and Green matrices type and stability in alternately advanced and delayed differential systems
Document typedc.typeArtículo de revista
Catalogueruchile.catalogadorSCOPUS
Indexationuchile.indexArtículo de publicación SCOPUS
uchile.cosechauchile.cosechaSI


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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile