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

DOI10.1016/j.jmaa.2008.11.048zbMath1160.60324OpenAlexW2032653722MaRDI QIDQ1018705

Luisa Di Piazza, Bianca-Renata Satco

Publication date: 20 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.048

zbMATH Keywords

Henstock integralimpulsive differential equationDarbo fixed point theoremHenstock-Lebesgue integral

Mathematics Subject Classification ID

Stochastic integral equations (60H20)

Related Items (15)

Gauge integrals and selections of weakly compact valued multifunctions ⋮ Semilinear evolution equations with distributed measures ⋮ Almost periodic solutions for abstract impulsive differential equations ⋮ Closure properties for integral problems driven by regulated functions via convergence results ⋮ A Cauchy Problem on Time Scales with Applications ⋮ Regulated solutions for nonlinear measure driven equations ⋮ Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures ⋮ Impulsive nonlocal differential equations through differential equations on time scales ⋮ Solution tube method for impulsive periodic differential inclusions of first order ⋮ Solutions and nonnegative solutions for a weighted variable exponent impulsive integro-differential system with multi-point and integral mixed boundary value problems ⋮ Existence of solutions for a weighted \(p(t)\)-Laplacian impulsive integrodifferential system with multipoint and integral boundary value conditions ⋮ Henstock-Kurzweil-Pettis integral and weak topologies in nonlinear integral equations on time scales ⋮ An extension of the Birkhoff integrability for multifunctions ⋮ A Girsanov result for the Pettis integral ⋮ Existence of positive solutions for multipoint boundary value problem on the half-line with impulses

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