Existence of global solutions of delayed differential equations via retract approach

DOI10.1016/j.na.2005.06.030zbMath1101.34046OpenAlexW2064817618MaRDI QIDQ2492428

Josef Diblík, Norbert Koksch

Publication date: 9 June 2006

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.2005.06.030

zbMATH Keywords

functional-differential equationsexistence of global solutionsretract principle

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) General theory of functional-differential equations (34K05)

Related Items (6)

On global solutions of functional differential equations ⋮ Integral manifolds for uncertain impulsive differential-difference equations with variable impulsive perturbations ⋮ Existence of almost periodic solutions for strongly stable nonlinear impulsive differential-difference equations ⋮ Monotone-iterative method for the initial value problem with initial time difference for differential equations with ``maxima ⋮ Existence of global solutions to nonlinear mixed-type functional differential equations ⋮ Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations

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• \(L^ 2\)-perturbation of a linear delay differential equation
• A criterion for existence of positive solutions of systems of retarded functional differential equations
• Oscillations of first-order delay differential equations in a critical state
• Asymptotic equilibrium for homogeneous delay linear differential equations with l-perturbation term
• More on linear differential systems with small delays

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