منابع مشابه
Absolute and Delay-Dependent Stability of Equations with a Distributed Delay: a Bridge from Nonlinear Differential to Difference Equations
We study delay-independent stability in nonlinear models with a distributed delay which have a positive equilibrium. Such models frequently occur in population dynamics and other applications. In particular, we construct a relevant difference equation such that its stability implies stability of the equation with a distributed delay and a finite memory. This result is, generally speaking, incor...
متن کاملAbsolute Stability and Conditional Stability in General Delayed Differential Equations
Delay differential equations are a class of mathematical models describing various natural and engineered phenomena with delayed feedbacks in the system. Mathematical theory of delay differential equations or functional-differential equations have been developed in the second half of twentieth century to study mathematical questions from models of population biology, biochemical reactions, neur...
متن کاملDelay Dynamic Equations with Stability
The unification and extension of continuous calculus, discrete calculus, q-calculus, and indeed arbitrary real-number calculus to time-scale calculus, where a time scale is simply any nonempty closed set of real numbers, were first accomplished by Hilger in [4]. Since then, time-scale calculus has made steady inroads in explaining the interconnections that exist among the various calculuses, an...
متن کاملMackey - Glass type delay differential equations near the boundary of absolute stability
Eduardo Liz , Elena Trofimchuk b and Sergei Trofimchuk c aDepartamento de Matemática Aplicada II, E.T.S.I.Telecomunicación, Universidad de Vigo, Campus Marcosende, 36200 Vigo, Spain E-mail: [email protected] bDepartment of Mathematics, National Technical University “KPI”, Kiev, Ukraine E-mail: [email protected] cDepartamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casil...
متن کاملStability and periodicity in dynamic delay equations
Keywords: Delay dynamic equations Fixed point theory Lyapunov Periodic solutions Stability Time scales a b s t r a c t Let T be an arbitrary time scale that is unbounded above. By means of a variation of Lyapunov's method and contraction mapping principle this paper handles asymptotic stability of the zero solution of the completely delayed dynamic equations x ∆ (t) = −a(t)x(δ(t))δ ∆ (t). Moreo...
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: Journal of Differential Equations
سال: 1987
ISSN: 0022-0396
DOI: 10.1016/0022-0396(87)90116-1