Stability for linear nonautonomous delay differential equations
نویسندگان
چکیده
منابع مشابه
A Test for Stability of Linear Differential Delay Equations*
The changes in the stability of a system of linear differential delay equations resulting from the delay are studied by analyzing the associated eigenvalues of the characteristic equation. A specific contour is mapped by the characteristic equation into the complex plane to give an easy test for stability from an application of the argument principle. When the real part of an eigenvalue is posi...
متن کاملUnstable Solutions of Nonautonomous Linear Differential Equations
The fact that the eigenvalues of the family of matrices A(t) do not determine the stability of non-autonomous differential equations x′ = A(t)x is well known. This point is often illustrated using examples in which the matrices A(t) have constant eigenvalues with negative real part, but the solutions of the corresponding differential equation grow in time. Here we provide an intuitive, geometri...
متن کاملAsymptotic Properties of Solutions to Linear Nonautonomous Delay Differential Equations through Generalized Characteristic Equations
We study some properties concerning the asymptotic behavior of solutions to nonautonomous retarded functional differential equations, depending on the knowledge of certain solutions of the associated generalized characteristic equation.
متن کاملStability of solutions for nonlinear nonautonomous differential - delay equations in Hilbert spaces ∗
We consider nonlinear non-autonomous differential-delay equations having separated linear and sublinear parts. We assume that the Green functions of the linear part is selfadjoint and positive definite to obtain solution estimates, explicit conditions for the absolute stability, and input-output stability. Moreover, it is shown that the suggested conditions characterize the equations that satis...
متن کاملExponential Stability of Linear Delay Impulsive Differential Equations
Corresponding author: Elena Braverman Technion Israel Institute of Technology, Department of Mathematics, 32000, Haifa, Israel e-mail : [email protected] Abstract For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0,∞) together with its derivative for each bounded right-hand side t...
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: Mathematical and Computer Modelling
سال: 1990
ISSN: 0895-7177
DOI: 10.1016/0895-7177(90)90089-6