An explicit criterion for the existence of positive solutions of the linear delayed equation \(\dot{x}(t)= -c(t)x(t - \tau (t))\)
From MaRDI portal
Publication:410145
DOI10.1155/2011/561902zbMath1243.34099OpenAlexW1482521199WikidataQ58654302 ScholiaQ58654302MaRDI QIDQ410145
Jaromír Baštinec, Josef Diblík, Zdeněk Šmarda
Publication date: 3 April 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2011/561902
Related Items (6)
Stability of the zero solution of a family of functional-differential equations ⋮ Long-time behavior of positive solutions of a differential equation with state-dependent delay ⋮ Existence of strictly decreasing positive solutions of linear differential equations of neutral type ⋮ Positive solutions and iterative approximations for a nonlinear two-dimensional difference system with multiple delays ⋮ Periodic solutions of a Lotka-Volterra system with delay and diffusion ⋮ Explicit integral criteria for the existence of positive solutions of the linear delayed equation \(\dot{x}(t) = -c(t) x(t -\tau(t))\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solutions with a particular form of asymptotics in certain systems of functional differential equations of retarded type
- Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case
- Ordinary and delay differential equations
- Introduction to functional differential equations
- Nonoscillation of first order impulse differential equations with delay
- Positive and oscillating solutions of differential equations with delay in critical case
- Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case
- On the critical case in oscillation for differential equations with a single delay and with several delays
- Oscillation criteria for first order delay difference equations
- A criterion for existence of positive solutions of systems of retarded functional differential equations
- Oscillations of first-order delay differential equations in a critical state
- Oscillation and Nonoscillation Criteria for Delay Differential Equations
This page was built for publication: An explicit criterion for the existence of positive solutions of the linear delayed equation \(\dot{x}(t)= -c(t)x(t - \tau (t))\)
