Existence results for Urysohn integral inclusions involving the Henstock integral

DOI10.1016/j.jmaa.2007.02.050zbMath1123.45004OpenAlexW1998547556MaRDI QIDQ2643998

Bianca-Renata Satco

Publication date: 27 August 2007

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.2007.02.050

zbMATH Keywords

continuous solutionsBanach spaceVolterra typeHammerstein typeKamke functionHenstock (set-valued) integralMonch's fixed point theoremUrysohn integral inclusion

Mathematics Subject Classification ID

Set-valued functions (26E25) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (5)

Closure properties for integral problems driven by regulated functions via convergence results ⋮ Impulsive nonlocal differential equations through differential equations on time scales ⋮ On the existence of weak solutions of nonlinear integral equations in Banach spaces ⋮ Measure differential inclusions through selection principles in the space of regulated functions ⋮ A new result on impulsive differential equations involving non-absolutely convergent integrals

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