6533b833fe1ef96bd129c189
RESEARCH PRODUCT
A new result on impulsive differential equations involving non-absolutely convergent integrals
Bianca SatcoL. Di Piazzasubject
Integrable systemHenstock integralDifferential equationApplied MathematicsMathematical analysisMathematics::Classical Analysis and ODEsFixed-point theoremImpulse (physics)Absolute convergenceHenstock–Lebesgue integralSimultaneous equationsimpulsive differential equation Henstock integral Henstock-Lebesgue integral Darbo fixed point Theorem.Impulsive differential equationDarbo fixed point theoremDifferential algebraic equationAnalysisNumerical partial differential equationsMathematicsdescription
AbstractIn this paper we obtain, as an application of a Darbo-type theorem, global solutions for differential equations with impulse effects, under the assumption that the function on the right-hand side is integrable in the Henstock sense. We thus generalize several previously given results in literature, for ordinary or impulsive equations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-04-01 | Journal of Mathematical Analysis and Applications |