Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay

DOI10.1016/j.na.2005.07.017zbMath1106.35122OpenAlexW2088786225MaRDI QIDQ2492464

Aziz Ouhinou, Khalil Ezzinbi

Publication date: 9 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.07.017

zbMATH Keywords

semigroupsessential spectrumHille-Yosida operatorstrict solutionsuniform fading memory space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Partial functional-differential equations (35R10)

Related Items (10)

Flow invariance for nonlinear partial differential delay equations ⋮ Some results for impulsive fractional differential inclusions with infinite delay and sectorial operators in Banach spaces ⋮ Existence and continuous dependence results for nonlinear differential inclusions with infinite delay ⋮ Behavior near hyperbolic stationary solutions for partial functional differential equations with infinite delay ⋮ Existence of solutions of non-autonomous second order functional differential equations with infinite delay ⋮ Necessary and sufficient conditions for the regularity and stability of solutions for some partial neutral functional differential equations with infinite delay ⋮ Stability and asymptotic behavior of solutions for some linear partial functional differential equations in critical cases ⋮ Periodic solutions for a class of neutral functional differential equations with infinite delay ⋮ Existence and regularity of solutions for neutral partial functional integrodifferential equations with infinite delay ⋮ Asymptotic behavior of solutions to semilinear parabolic equations with infinite delay

Cites Work

• Existence and stability for some partial neutral functional-differential equations with infinite delay
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• Semigroups of linear operators and applications to partial differential equations
• Functional differential equations with infinite delay
• A class of linear partial neutral functional differential equations with nondense domain
• Strict solutions to nonlinear hyperbolic neutral differential equations
• Theory and applications of partial functional differential equations
• Existence and stability for some partial neutral functional differential equations.
• Existence and Stability for Partial Functional Differential Equations
• One-Parameter Semigroups for Linear Evolution Equations
• Resolvent Positive Operators
• Regularity of solutions of abstract retarded functional differential equations with unbounded delay
• Existence of a periodic solution for some partial functional differential equations with infinite delay
• Existence and linearized stability for partial neutral functional differential equations with nondense domains
• Existence for a class of partial functional differential equations with infinite delay
• Local existence and stability for some partial functional-differential equations with infinite delay
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