A parabolic differential equation with unbounded piecewise constant delay
نویسندگان
چکیده
منابع مشابه
A Parabolic Differential Equation with Unbounded Piecewise Constant Delay
A partial differential equation with the argument [Z.t] is studied, where [.] denotes the greatest integer function. The infinite delay -[Zt] leads to difference equations of unbounded order. KEY WORDSAND PHRASES. Partial differential equation, piecewise constant delay, boundary value problem, initial value problem. 1991 AMS SUBJECT SIFICATION CODE. 35A05, 35B25, 35L10, 34K25.
متن کاملGlobal dynamics of a differential equation with piecewise constant argument
Several aspects of global dynamics are studied for the scalar differential-difference equation εẋ(t) + x(t) = f (x([t])), 0 < ε 1, where [·] is the integer part function. The equation is a particular case of the special discretization (discrete version) of the singularly perturbed differential delay equation εẋ(t)+ x(t) = f (x(t−1)). Sufficient conditions for the invariance, global stability of...
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 کاملFunctional Differential Inequalities with Unbounded Delay
We prove that a function of several variables satisfying a functional differential inequality with unbounded delay can be estimated by a solution of a suitable initial problem for an ordinary functional differential equation. As a consequence of the comparison theorem we obtain a Perrontype uniqueness result and a result on continuous dependence of solutions on given functions for partial funct...
متن کاملRetarded Differential Equations with Piecewise Constant Delays
Profound and close links exist between functional and functional differential equations. Thus, the study of the first often enables one to predict properties of differential equations of neutral type. On the other hand, some methods for the latter in the special case when the deviation of the argument vanishes at individual points have been used to investigate functional equations [ 11. Functio...
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: International Journal of Mathematics and Mathematical Sciences
سال: 1992
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171292000425