Existence, uniqueness, and continuous dependence of solutions of delay-differential equations with infinite delays in a Banach space

DOI10.1006/JMAA.1995.1343zbMath0846.34086OpenAlexW2029556939MaRDI QIDQ1909986

Shigeo Kato

Publication date: 31 March 1996

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

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1343

zbMATH Keywords

existenceuniquenessuniform stabilityBanach spacecontinuous dependencedelay-differential equation with infinite delays

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05)

Related Items (4)

Attractors for differential equations with unbounded delays ⋮ A sufficient condition for almost periodicity of solutions of nonautonomous nonlinear evolution equations ⋮ The existence of positive solutions to nonlinear neutral differential equations in a Banach space ⋮ Boundedness in nonlinear functional differential equations with applications to Volterra integrodifferential equations

This page was built for publication: Existence, uniqueness, and continuous dependence of solutions of delay-differential equations with infinite delays in a Banach space