Asymptotic behavior of solutions of differential equations with piecewise constant arguments

DOI10.1016/j.aml.2007.10.008zbMath1152.34348OpenAlexW2014465473MaRDI QIDQ998604

Marat U. Akhmet

Publication date: 29 January 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.10.008

zbMATH Keywords

asymptotic equivalencequasilinear systemspiecewise constant argument of generalized type

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (12)

Stability of the logistic population model with generalized piecewise constant delays ⋮ Asymptotic equivalence of alternately advanced and delayed differential systems with piecewise constant generalized arguments ⋮ Euler-Maclaurin method for linear differential equations with piecewise constant arguments with one delay: stability and oscillations ⋮ Stability and oscillation of mixed differential equation with piecewise continuous arguments ⋮ Stability analysis of Runge–Kutta methods for differential equations with piecewise continuous arguments of mixed type ⋮ Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type ⋮ Functional Differential Equations with Piecewise Constant Argument ⋮ Method of Lyapunov functions for differential equations with piecewise constant delay ⋮ Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1)=0\)] ⋮ Preservation of Oscillations in the Runge-Kutta Method for a Type of Advanced Differential Equation ⋮ Oscillation analysis of numerical solutions in theθ-methods for differential equation of advanced type ⋮ New results on linearization of differential equations with piecewise constant argument

Cites Work

• On Gopalsamy and Liu's conjecture for global stability in a population model
• Retarded differential equations with piecewise constant delays
• Integral manifolds of differential equations with piecewise constant argument of generalized type
• Asymptotic equivalence of differential equations and asymptotically almost periodic solutions
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