Asymptotic formulae for solutions to impulsive differential equations with piecewise constant argument of generalized type

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dc.contributor.authorCastillo, Samuel
dc.contributor.authorPinto, Manuel
dc.contributor.authorTorres, Ricardo
dc.date.accessioned2021-11-01T20:38:34Z
dc.date.available2021-11-01T20:38:34Z
dc.date.issued2019-03-12
dc.description.abstractIn this article we give some asymptotic formulae for impulsive differential system with piecewise constant argument of generalized type (abbreviated IDEPCAG). These formulae are based on certain integrability conditions, by means of a Gronwall-Bellman type inequality and the Banach's fixed point theorem. Also, we study the existence of an asymptotic equilibrium of nonlinear and semilinear IDEPCAG systems. We present examples that illustrate our the results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCastillo, S., Pinto, M., & Torres, R. (2019). Asymptotic formulae for solutions to impulsive differential equations with piecewise constant argument of generalized type. Electronic Journal of Differential Equations, 2019(40), pp. 1-22.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14749
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPiecewise constant arguments
dc.subjectStability of solutions
dc.subjectGronwall's inequality
dc.subjectAsymptotic equivalence
dc.subjectImpulsive differential equations
dc.titleAsymptotic formulae for solutions to impulsive differential equations with piecewise constant argument of generalized typeen_US
dc.typeArticle

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