scholarly journals Asymptotic Expansion for a Delay Differential Equation with Continuous and Piecewise Constant Arguments

2007 ◽  
Vol 50 (3) ◽  
pp. 421-448
Author(s):  
Olivier Binda ◽  
Morgan Pierre
Keyword(s):  
Differential Equation ◽  
Asymptotic Expansion ◽  
Delay Differential Equation ◽  
Piecewise Constant Arguments ◽  
Piecewise Constant ◽  
Delay Differential

scholarly journals Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument

2017 ◽  
Vol 25 (2) ◽  
pp. 89-98
Author(s):  
Gizem S. Oztepe ◽  
Fatma Karakoc ◽  
Huseyin Bereketoglu
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Second Order ◽  
Piecewise Constant ◽  
Piecewise Constant Argument ◽  
Impulsive Delay ◽  
Impulsive Delay Differential Equation ◽  
Delay Differential ◽  
Constant Argument

Abstract This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument. Moreover, oscillation, nonoscillation and periodicity of the solutions are investigated.

scholarly journals Necessary and sufficient conditions for the oscillation of delay differential equation with a piecewise constant argument

1998 ◽  
Vol 21 (3) ◽  
pp. 493-497 ◽  
Author(s):  
H. A. Agwo
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Piecewise Constant ◽  
Piecewise Constant Argument ◽  
Delay Differential ◽  
Necessary And Sufficient ◽  
T Tau ◽  
Constant Argument

The characteristic equation for an equation with continuous and piecewise constant argument in the formx˙(t)+px(t−τ)+qx([t−k])=0    where p, q∈ℜ, τ∈ℜ+and k∈ℵis presented, which whenq=0reduces tof(λ)=λ+e−λτ=0and whenp=0reduces toλ−1+qλ−k=0. Also, the necessary and sufficient conditions for oscillation are obtained.

Sign in / Sign up

Export Citation Format

Share Document