Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay

DOI10.3934/CPAA.2015.14.457zbMath1312.35136OpenAlexW2315678693MaRDI QIDQ2018441

Nasser-eddine Tatar, Aissa Guesmia

Publication date: 14 April 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.457

zbMATH Keywords

asymptotic behaviorenergy methodsemigroupwell-posednessdistributed delaydecay ratediscrete time delayinfinite memory

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90)

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