Search results for " Darbo fixed point Theorem."

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A new result on impulsive differential equations involving non-absolutely convergent integrals

2009

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.

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 equationsMathematicsJournal of Mathematical Analysis and Applications
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