A Perron type theorem for functional differential equations

DOI10.1016/j.jmaa.2005.04.027zbMath1102.34060OpenAlexW2084737960MaRDI QIDQ819688

Mihály Pituk

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.027

zbMATH Keywords

Lyapunov exponentsfunctional-differential equationssmall solutions

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25)

Related Items (18)

A Perron-type theorem for nonautonomous differential equations with different growth rates ⋮ Perron type theorems for functional differential equations with infinite delay in a Banach space ⋮ Tempered exponential dichotomies and Lyapunov exponents for perturbations ⋮ A limit boundary value problem for a nonlinear difference equation ⋮ Bohl theorem for Volterra equation ⋮ Nonuniform spectrum on the half line and perturbations ⋮ Nonuniform spectrum on Banach spaces ⋮ Nonautonomous difference equations and a Perron-type theorem ⋮ A Perron-type theorem for nonautonomous delay equations ⋮ Nonautonomous equations with arbitrary growth rates: A Perron-type theorem ⋮ SPECTRA OF DELAY EQUATIONS ⋮ On the exponential behaviour of non-autonomous difference equations ⋮ On the robust stability of Volterra differential-algebraic equations ⋮ Asymptotic behavior and oscillation of functional differential equations ⋮ Asymptotically exponential solutions in nonlinear integral and differential equations ⋮ A Perron-type theorem for nonautonomous differential equations ⋮ About robust stability of dynamic systems with time delays through fixed point theory ⋮ Asymptotic comparison of the solutions of linear time-delay systems with point and distributed lags with those of their limiting equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on ``The discrete Lyapunov function\dots
• The discrete Lyapunov function for scalar differential delay equations
• Morse decompositions for delay-differential equations
• Distributional and small solutions for linear time-dependent delay equations
• Introduction to functional differential equations
• Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback
• Delay equations. Functional-, complex-, and nonlinear analysis
• Asymptotic behavior and oscillation of functional differential equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Asymptotic Integrations of Linear Differential Equations
• The two-dimensional attractor of a differential equation with state-dependent delay

This page was built for publication: A Perron type theorem for functional differential equations