Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions

DOI10.12775/TMNA.2020.065zbMath1492.34067OpenAlexW3199035464MaRDI QIDQ2075670

Yang-Yang Yu, Rong-Nian Wang, Ioan I. Vrabie

Publication date: 15 February 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.065

zbMATH Keywords

global solvabilityequicontinuous semigroup\(C^0\)-solutionsnonlocal implicit initial conditionVolterra delay evolution inclusion

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20) Volterra integral equations (45D05)

Related Items (4)

Global solvability for nonlinear nonautonomous evolution inclusions of Volterra-type and its applications ⋮ Topological structure of the solution set for a Volterra-type nonautonomous evolution inclusion with impulsive effect ⋮ On control problems for Volterra nonautonomous evolution inclusions: structure of solution sets and approximate controllability ⋮ Solvability for a nonlocal dispersal model governed by time and space integrals

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