Asymptotic Behaviour of Solutions of Two-Dimensional Neutral Differential Systems
نویسندگان
چکیده
منابع مشابه
Oscillation and Asymptotic Behaviour of Solutions of Nonlinear Two-Dimensional Neutral Delay Difference Systems
This paper deals with the some oscillation criteria for the two-dimensional neutral delay difference system of the form ( ) ( ) ( ) 1 0 , 1, , , , 2 3 n n n k n n n n n l x p x b y y a x n n − − + ∆ + = ∆ = − ∈ = Examples illustrating the results are inserted.
متن کاملAsymptotic Behaviour of Solutions of Real Two-dimensional Differential System with Nonconstant Delay
In this article, stability and asymptotic properties of solutions of a real two-dimensional system x′(t) = A(t)x(t)+B(t)x(τ(t))+h(t, x(t), x(τ(t))) are studied, where A, B are matrix functions, h is a vector function and τ(t) ≤ t is a nonconstant delay which is absolutely continuous and satisfies lim t→∞ τ(t) = ∞. Generalization of results on stability of a two-dimensional differential system w...
متن کاملAsymptotic Behaviour of Solutions of Some Linear Delay Differential Equations
In this paper we investigate the asymptotic properties of all solutions of the delay differential equation y′(x) = a(x)y(τ (x)) + b(x)y(x), x ∈ I = [x0,∞). We set up conditions under which every solution of this equation can be represented in terms of a solution of the differential equation z′(x) = b(x)z(x), x ∈ I and a solution of the functional equation |a(x)|φ(τ (x)) = |b(x)|φ(x), x ∈ I.
متن کاملOn asymptotic stability of Prabhakar fractional differential systems
In this article, we survey the asymptotic stability analysis of fractional differential systems with the Prabhakar fractional derivatives. We present the stability regions for these types of fractional differential systems. A brief comparison with the stability aspects of fractional differential systems in the sense of Riemann-Liouville fractional derivatives is also given.
متن کاملAsymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case
The asymptotic behaviour for the solutions of a real two-dimensional system with a bounded nonconstant delay is studied under the assumption of instability. Our results improve and complement previous results by J. Kalas, where the sufficient conditions assuring the existence of bounded solutions or solutions tending to origin for t approaching infinity are given. The method of investigation is...
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: Czechoslovak Mathematical Journal
سال: 2003
ISSN: 0011-4642,1572-9141
DOI: 10.1023/b:cmaj.0000024515.64004.7c