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

DOI10.1016/j.na.2010.06.060zbMath1231.34105OpenAlexW2084681497MaRDI QIDQ988161

Zhanrong Hu, Zhen Jin

Publication date: 26 August 2010

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.2010.06.060

zbMATH Keywords

infinite delayHille-Yosida operatorneutral functional-differential equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Partial functional-differential equations (35R10) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Integrated semigroups (47D62)

Related Items (3)

Traveling wave solutions for a neutral reaction-diffusion equation with non-monotone reaction ⋮ A study of singularities in the inviscid linear theory of sea breezes ⋮ Existence and asymptotic periodicity of solutions for neutral integro-differential evolution equations with infinite delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrated semigroups
• Existence and stability for some partial neutral functional-differential equations with infinite delay
• Existence and regularity of solutions for neutral partial functional integrodifferential equations with infinite delay
• Semigroups of linear operators and applications to partial differential equations
• Functional differential equations with infinite delay
• 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
• Autonomous nonlinear functional differential equations and nonlinear semigroups
• Strict solutions to nonlinear hyperbolic neutral differential equations
• Theory and applications of partial functional differential equations
• Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay
• Existence and Stability for Partial Functional Differential Equations
• One-Parameter Semigroups for Linear Evolution Equations
• Existence of solutions for a class of partial neutral differential equations
• Resolvent Positive Operators
• 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

This page was built for publication: Necessary and sufficient conditions for the regularity and stability of solutions for some partial neutral functional differential equations with infinite delay