Linear neutral partial differential equations: A semigroup approach

DOI10.1155/S0161171203209157zbMath1022.35081MaRDI QIDQ1811916

Nguyen Thieu Huy, Rainer Nagel

Publication date: 18 June 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50357

zbMATH Keywords

semigroupdifference operatordelay operatorlinear neutral PDEs

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Partial functional-differential equations (35R10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (9)

Second order abstract neutral functional differential equations ⋮ Eventual norm continuity for neutral semigroups on Banach spaces ⋮ Singular functional differential equations of neutral type in Banach spaces ⋮ Hyperbolicity of solution semigroups for linear neutral differential equations ⋮ Almost automorphy for abstract neutral differential equations via control theory ⋮ Existence of solutions of second-order partial neutral functional differential equations with infinite delay ⋮ Positivity and stability for nondensely defined partial neutral functional differential equations ⋮ Regular linear systems governed by neutral FDEs ⋮ Dynamic boundary systems with boundary feedback and population system with unbounded birth process

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