Convergence of the solutions of the equation \(\dot y(t) = \beta(t)[y(t-\delta)-y(t-\tau)]\) in the critical case
From MaRDI portal
Publication:878502
DOI10.1016/j.jmaa.2006.10.001zbMath1125.34059OpenAlexW2014969630MaRDI QIDQ878502
Josef Diblík, Miroslava Ružičková
Publication date: 26 April 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.001
Asymptotic theory of functional-differential equations (34K25) Linear functional-differential equations (34K06) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)
Related Items (14)
Existence of positive solutions of neutral differential equations ⋮ Convergence and divergence of the solutions of a neutral difference equation ⋮ Unbounded increasing solutions of a system of difference equations with delays ⋮ A constructive comparison technique for determining the asymptotic behaviour of linear functional differential equations with unbounded delay ⋮ Asymptotic convergence of the solutions of a discrete equation with several delays ⋮ Unbounded solutions of the equation \(\dot y(t)=\sum_{i=1}^n\beta_i(t)[y(t-\delta_i)-y(t-\tau_i)\)] ⋮ Asymptotic convergence of solutions of a scalar \(q\)-difference equation with double delays ⋮ Monotone-iterative method for the initial value problem with initial time difference for differential equations with ``maxima ⋮ Asymptotical convergence of the solutions of a linear differential equation with delays ⋮ Asymptotic convergence of the solutions of a dynamic equation on discrete time scales ⋮ Existence of unbounded solutions of a linear homogenous system of differential equations with two delays ⋮ Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case ⋮ Convergence of solutions for two delays Volterra integral equations in the critical case ⋮ Asymptotic convergence of the solutions of a discrete system with delays
Cites Work
- Exponential solutions of equation \(\dot y(t)=\beta(t)[y(t-\delta)-y(t-\tau)\)]
- Criteria for asymptotic constancy of solutions of functional differential equations
- A note on the convergence of the solutions of a linear functional differential equation
- The asymptotic bounds of solutions of linear delay systems
- Convergence in asymptotically autonomous functional differential equations
- Asymptotic representation of solutions of the equation \(\dot y(t)=\beta(t)[y(t)-y(t-\tau(t))\)]
- Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays
- Asymptotic convergence criteria of solutions of delayed functional differential equations
- Asymptotic constancy for systems of delay differential equations
- More on linear differential systems with small delays
- Unnamed Item
This page was built for publication: Convergence of the solutions of the equation \(\dot y(t) = \beta(t)[y(t-\delta)-y(t-\tau)]\) in the critical case