The Hartman-Wintner theorem for functional-differential equations

DOI10.1006/jdeq.1998.3573zbMath0929.34057OpenAlexW2081651702MaRDI QIDQ1293256

Mihály Pituk

Publication date: 16 January 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3573

zbMATH Keywords

functional-differential equationsHartman-Wintner theorem

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (8)

Asymptotic integration of functional differential systems with oscillatory decreasing coefficients ⋮ Growth Rates of Sublinear Functional and Volterra Differential Equations ⋮ Growth and fluctuation in perturbed nonlinear Volterra equations ⋮ On asymptotically autonomous retarded functional differential equations ⋮ Asymptotic formula for solutions of \(l^2\)-perturbed linear delay difference systems. ⋮ Asymptotic behavior and oscillation of functional differential equations ⋮ Hartman-Wintner growth results for sublinear functional differential equations ⋮ Subexponential growth rates in functional differential equations

Cites Work

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• Asymptotic integration of the functional differential equations \(y'(t)=a(t)y(t-r(t,y))\)
• Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\)
• Linear asymptotically autonomous functional differential equations
• Asymptotically Diagonal Linear Differential Equations with Retardation
• Asymptotic behavior of solutions of differential-difference equations.
• Asymptotic Integrations of Linear Differential Equations
• Asymptotic integration of delay differential systems
• Asymptotic integration of delay differential systems

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