Asymptotic solutions for second order delay differential equations
From MaRDI portal
Publication:3128497
DOI10.1016/S0362-546X(96)00024-7zbMath0871.34045OpenAlexW2087186684MaRDI QIDQ3128497
Publication date: 8 October 1997
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00024-7
delay differential equationasymptotic formulaesecond order delay-differential equations\(h\)-systemsGreen-Liouville formulae
Asymptotic theory of functional-differential equations (34K25) Green's functions for ordinary differential equations (34B27)
Related Items (9)
On exponential stability of second order delay differential equations ⋮ Stability criteria for certain second-order delay differential equations with mixed coefficients ⋮ Stabilization by delay distributed feedback control ⋮ An asymptotic theory for nonlinear functional differential equations. ⋮ Asymptotic behavior in Volterra difference systems with unbounded delay ⋮ W-transform for exponential stability of second order delay differential equations without damping terms ⋮ Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments ⋮ Stability of neutral delay differential equations with applications in a model of human balancing ⋮ Nonoscillation, maximum principles, and exponential stability of second order delay differential equations without damping term
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic integration of a system resulting from the perturbation of an h-system
- On the delay-differential equations x'(t) + a(t)f(x(t - r(t))) = 0 and x(t) + a(t)f(x(t - r(t)))=0
- Stability properties of the solutions of the nonlinear functional differential systems
- Nonlinear delay-differential equations with small lag
- On the stability for the delay-differential equation \(\dot x(t)=- a(t)f(x(t-r(t)))\)
- Roughness of \((h,k)\)-dichotomies
- Dichotomies and asymptotic formulas for the solutions of differential equations
- Asymptotic integration of nonautonomous delay-differential systems
- Asymptotic integration of the functional differential equations \(y'(t)=a(t)y(t-r(t,y))\)
- Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\)
- Asymptotic stability for one dimensional differential-delay equations
- Continuation, nonoscillation and asymptotic formulae of solutions of second order nonlinear differential equations
- Functional differential equations close to differential equations
- Asymptotic integration of delay differential systems
- Asymptotic integration of delay differential systems
This page was built for publication: Asymptotic solutions for second order delay differential equations