Existence and stability in the \(\alpha\)-norm for partial functional differential equations of neutral type

DOI10.1007/s10231-005-0162-8zbMath1232.35183OpenAlexW2081414279MaRDI QIDQ661085

Mostafa Adimy, Khalil Ezzinbi

Publication date: 18 February 2012

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-005-0162-8

zbMATH Keywords

stabilitymild solutionanalytic semigrouppartial functional differential equationscharacteristic valuefractional power

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20)

Related Items (19)

Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay ⋮ On implicit abstract neutral nonlinear differential equations ⋮ Periodicity in the \(\alpha\)-norm for some partial functional differential equations with infinite delay ⋮ Traveling wave solutions for a neutral reaction-diffusion equation with non-monotone reaction ⋮ Existence results in the \(\alpha \)-norm for neutral partial functional integro-differential equations with infinite delay ⋮ Existence results in the \(\alpha\)-norm for a class of neutral partial functional integro-differential equations ⋮ Existence, Regularity, and Stability in the α-Norm for Some Neutral Partial Functional Differential Equations in Fading Memory Spaces ⋮ Pseudo-almost Periodic Solutions of Class r in the α-Norm Under the Light of Measure Theory ⋮ Almost automorphy for abstract neutral differential equations via control theory ⋮ Periodicity in the \({\alpha}\)-norm for partial functional differential equations in fading memory spaces ⋮ Periodic solutions in the \(\alpha\)-norm for some neutral partial functional differential equations with finite delay ⋮ Mild solutions of neutral stochastic partial functional differential equations ⋮ Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay ⋮ Normal Forms for Partial Neutral Functional Differential Equations with Applications to Diffusive Lossless Transmission Line ⋮ Reduction principle and dynamic behaviors for a class of partial functional differential equations ⋮ Regularity results for some class of nonautonomous partial neutral functional differential equations with finite delay ⋮ Asymptotic pattern for a partial neutral functional differential equation ⋮ Global Attractor in Alpha-Norm for Some Partial Functional Differential Equations of Neutral and Retarded Type ⋮ Existence and regularity of periodic solutions for neutral evolution equations with delays

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Linear autonomous neutral differential equations in a Banach space
• A class of linear partial neutral functional differential equations with nondense domain
• Introduction to functional differential equations
• Strict solutions to nonlinear hyperbolic neutral differential equations
• Theory and applications of partial functional differential equations
• Self-sustained oscillations in a ring array of coupled lossless transmission lines
• Stability of functional differential equations of neutral type
• Fundamental inequalities and applications to neutral equations
• Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
• Linearized stability of semilinear delay equations in fractional power spaces
• Existence and Stability for Partial Functional Differential Equations
• One-Parameter Semigroups for Linear Evolution Equations
• Existence and linearized stability for partial neutral functional differential equations with nondense domains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence and stability in the \(\alpha\)-norm for partial functional differential equations of neutral type