Show simple item record

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

Authordc.contributor.authorPinto Jiménez, Manuel 
Cita de ítemdc.identifier.citationJournal of Difference Equations and Applications, Volumen 17, Issue 2, 2018, Pages 235-254
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.
Type of licensedc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
Link to Licensedc.rights.uri
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
Indexationuchile.indexArtículo de publicación SCOPUS

Files in this item


This item appears in the following Collection(s)

Show simple item record

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