On abstract Volterra equations with kernels having a positive resolvent

DOI10.1007/BF02762044zbMath0451.45012OpenAlexW2082898815MaRDI QIDQ1147938

Philippe Clément

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02762044

zbMATH Keywords

accretive operatorboundednessasymptotic propertiesBanach spaceconvolution typepositive resolventnonlinear abstract Volterra equation

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (7)

Qualitative properties of solutions of Volterra equations in Banach spaces ⋮ Unbounded behavior and convergence of solutions of nonlinear Volterra equations in Banach spaces ⋮ An abstract nonlinear Volterra equation ⋮ Ergodic theorems for non-linear Volterra equations in Hilbert space ⋮ Asymptotic behavior of solutions of nonlinear Volterra equations and mean points ⋮ Fractional flows driven by subdifferentials in Hilbert spaces ⋮ Volterra integro-differential equations with accretive nonlinearity

Cites Work

• Unnamed Item
• An abstract functional differential equation and a related nonlinear Volterra equation
• On Volterra integral equations with nonnegative integrable resolvents
• On a nonlinear Volterra integral equation
• Resolvents and Bounds for Linear and Nonlinear Volterra Equations
• Abstract Linear and Nonlinear Volterra Equations Preserving Positivity

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