Asymptotic formulas for a scalar linear delay differential equation
نویسندگان
چکیده
منابع مشابه
Asymptotic Formulas for Solutions of Half-linear Euler-weber Equation
p−1 p p−1 . This equation is a special case of a general half-linear second order differential equation (r(t)Φ(x′))′ + c(t)Φ(x) = 0, (2) where Φ(x) := |x| sgn x, p > 1, and r, c are continuous functions, r(t) > 0 (in the studied equation (1) we have r(t) ≡ 1). Let us recall that similarly as in the linear case, which is a special case of (2) for p = 2 and equation (2) then reduces to the linear...
متن کاملAsymptotic Properties, Nonoscillation, and Stability for Scalar First Order Linear Autonomous Neutral Delay Differential Equations
We study scalar first order linear autonomous neutral delay differential equations with distributed type delays. This article presents some new results on the asymptotic behavior, the nonoscillation and the stability. These results are obtained via a real root (with an appropriate property) of the characteristic equation. Applications to the special cases such as (non-neutral) delay differentia...
متن کاملAsymptotic properties of one differential equation with unbounded delay
This contribution deals with asymptotic behavior of solutions of a differential equation with unbounded delay. This equation includes as the special cases some equations which have been recently considered , for example the logistic equation with recruitment delays, which was considered by Gopalsamy[2]. The purpose of this paper is the existence a solution of this equation which may be at t → ∞...
متن کاملOscillation of a Linear Delay Impulsive Differential Equation
The main result of the paper is that the oscillation (non-oscillation) of the impulsive delay differential equation ẋ(t) + m ∑ k=1 Ak(t)x[hk(t)] = 0, t ≥ 0, x(τj) = Bjx(τj − 0), lim τj = ∞ is equivalent to the oscillation (non-oscillation) of the equation without impulses ẋ(t) = m ∑
متن کاملon the goursat problem for a linear partial differential equation
in this paper, the goursat problem of a general form for a linear partial differential equation is investigated with the help of the riemann function method. some results are given concerning the existence and uniqueness for the solution of the suggested problem.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2016
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.72