Exponential stability for abstract linear autonomous functional differential equations with infinite delay

DOI10.1155/S0161171298000362zbMath0901.34062OpenAlexW2053894481MaRDI QIDQ1384240

Jin Liang, Falun Huang, Ti-Jun Xiao

Publication date: 26 November 1998

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

Full work available at URL: https://eudml.org/doc/48014

zbMATH Keywords

exponential stabilitysolution semigroupfundamental operatorabstract linear autonomous functional-differential equationexponentially fading memory space

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability theory of functional-differential equations (34K20)

Related Items (4)

A note on a semilinear fractional differential equation of neutral type with infinite delay ⋮ A note on semilinear abstract functional differential and integrodifferential equations with infinite delay. ⋮ Robustness with respect to small delays for exponential stability of abstract differential equations in Banach spaces ⋮ The Cauchy problem for nonlinear abstract functional differential equations with infinite delay

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