Qualitative properties of solutions of Volterra equations in Banach spaces

DOI10.1007/BF02767365zbMath0675.45016OpenAlexW2048513553MaRDI QIDQ1122100

Enzo Mitidieri, Philippe Clément

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02767365

zbMATH Keywords

monotonicityaccretive operatorinvarianceupper and lower solutionsasymptotic behaviourBanach spaceabstract integral equationVolterra equationcompletely positive kernel

Mathematics Subject Classification ID

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

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Regularity properties of mild solutions for a class of Volterra equations with critical nonlinearities ⋮ Completely positive measures and Feller semigroups ⋮ Almost periodic solutions of Volterra difference systems ⋮ Quasilinear evolutionary equations and continuous interpolation spaces. ⋮ Entropy solutions to doubly nonlinear integro-differential equations ⋮ A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels

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