Stability of solutions to abstract evolution equations with delay

DOI10.1016/J.JMAA.2012.06.033zbMath1258.34151OpenAlexW2171474677MaRDI QIDQ714063

Alexander G. Ramm

Publication date: 19 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.06.033

zbMATH Keywords

stabilitydelaydifferential inequalityglobal boundsabstract evolution problems

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Nonlinear evolution equations (47J35)

Related Items (3)

Stability of solutions to evolution problems ⋮ Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for stochastic evolution equation involving delay ⋮ General stability of abstract thermoelastic system with infinite memory and delay

Cites Work

• Dynamical systems method (DSM) for selfadjoint operators
• Introduction to functional differential equations
• Global attractivity in scalar delayed differential equations with applications to population models.
• Asymptotic stability of solutions to abstract differential equations
• A stability result for abstract evolution problems
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