Volterra inequalities in function spaces

DOI10.1070/SM2004v195n09ABEH000842zbMath1091.47053OpenAlexW2002296210MaRDI QIDQ5693801

Evgeny S. Zhukovskiy

Publication date: 28 September 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2004v195n09abeh000842

zbMATH Keywords

function spaceslower solutionupper solutionVolterra inequalities

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Differential inequalities involving functions of a single real variable (34A40) Ordered normed spaces (46B40) Applications of functional analysis to differential and integral equations (46N20)

Related Items (6)

On properties of solutions to differential systems modeling the electrical activity of the brain ⋮ A generalization of Bihari's lemma to the case of Volterra operators in Lebesgue spaces ⋮ Functional and differential inequalities and their applications to control problems ⋮ On positivity conditions for the Cauchy function of functional-differential equations ⋮ On ordered-covering mappings and implicit differential inequalities ⋮ A method for studying integral equations by using a covering set of the Nemytskii operator in spaces of measurable functions

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