Asymptotic integration of delay differential systems

DOI10.1016/0022-247X(89)90292-8zbMath0681.34067OpenAlexW3142920191MaRDI QIDQ5916444

István Győri, Ovide Arino

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90292-8

zbMATH Keywords

delay differential equationasymptotic integrationpartial stability

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20)

Related Items (10)

Convergence theorems and asymptotic integration for functional differential equations ⋮ Asymptotic integration of functional differential systems with oscillatory decreasing coefficients ⋮ An asymptotic theory for nonlinear functional differential equations. ⋮ Asymptotic behavior of solutions of a differential equation with asymptotically constant delay ⋮ On asymptotically autonomous retarded functional differential equations ⋮ Asymptotic integration of delay differential systems ⋮ Asymptotic formula for solutions of \(l^2\)-perturbed linear delay difference systems. ⋮ The Hartman-Wintner theorem for functional-differential equations ⋮ Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case ⋮ Asymptotic solutions for second order delay differential equations

Cites Work

• Criteria for asymptotic constancy of solutions of functional differential equations
• Stability and asymptotic integration for certain linear systems of functional differential equations
• Linear differential systems with small delays
• A unified theory of asymptotic integration
• Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\)
• The asymptotic solution of second-order differential equations
• Asymptotic Integrations of Linear Differential Equations
• Qualitative properties of the solutions of a delay differential equation with impulses. I: Stability
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