Existence, Uniqueness and Qualitative Properties of Global Solutions of Abstract Differential Equations with State-Dependent Delay

DOI10.1017/S001309151800069XzbMath1477.34095OpenAlexW2911438970WikidataQ128453848 ScholiaQ128453848MaRDI QIDQ4966892

Jianhong Wu, Eduardo M. Hernández

Publication date: 28 June 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309151800069x

zbMATH Keywords

partial differential equationsglobal solutionsanalytic semigroupstrict solutionsstate-dependent delay equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Partial functional-differential equations (35R10) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30) Functional-differential equations with state-dependent arguments (34K43)

Related Items (9)

Existence and uniqueness of solutions for abstract integro-differential equations with state-dependent delay and applications ⋮ Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays ⋮ Existence and uniqueness of global solution for abstract second order differential equations with state‐dependent delay ⋮ Existence results for abstract functional differential equations with infinite state-dependent delay and applications ⋮ Existence and uniqueness of solutions, well-posedness and global attractor for abstract differential equations with state-dependent delay ⋮ Compact almost automorphic function on time scales and its application ⋮ Well-posedness of abstract integro-differential equations with state-dependent delay ⋮ Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay ⋮ Finite fractal dimensional global attractor for abstract differential equations with state-dependent delay

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