Asymptotic equivalence of alternately advanced and delayed differential systems with piecewise constant generalized arguments

DOI10.1016/S0252-9602(17)30128-5zbMath1399.34183OpenAlexW2771403383MaRDI QIDQ1637013

Kuo-Shou Chiu

Publication date: 7 June 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30128-5

zbMATH Keywords

equivalenceasymptotic behaviorGronwall's inequalitypiecewise constant argument of generalized typehybrid equations

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Perturbations of functional-differential equations (34K27)

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Cites Work

• Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments
• Integral manifolds of differential equations with piecewise constant argument of generalized type
• On generalized impulsive piecewise constant delay differential equations
• Asymptotic behavior of solutions of differential equations with piecewise constant arguments
• Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument
• Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument
• Asymptotic equivalence of differential equations and asymptotically almost periodic solutions
• The asymptotic nature of solutions of linear systems of differential equations
• Periodic solutions of differential equations with a general piecewise constant argument and applications
• Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
• Asymptotic equivalence of neutral and infinite retarded differential equations
• On linear perturbations of a system of linear differential equations
• Stability of oscillatory solutions of differential equations with a general piecewise constant argument
• Stability of oscillatory solutions of differential equations with general piecewise constant arguments of mixed type
• A note on asymptotic formulae for solutions of a system of linear differential equations
• On asymptotic equivalence of linear and quasilinear difference equations
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