Results 221 to 230 of about 396,375 (242)

The Evolution of Polyclonal Competition in Aging Hematopoiesis. [PDF]

Cancer Discov
Mon Père NV, Terenzi F, Werner B.
europepmc   +1 more source

Exponential dichotomy and dichotomy radius for difference equations [PDF]

Journal of Mathematical Analysis and Applications, 2008
The aim of this paper is to provide a new approach concerning the characterization of exponential dichotomy of difference equations by means of admissible pair of sequence spaces.
Adina Luminita Sasu
exaly   +2 more sources

Exponential dichotomy and trichotomy for difference equations [PDF]

Computers and Mathematics With Applications, 1999
In this paper, a roughness theorem of exponential dichotomy and trichotomy of linear difference equations is proved. It is also shown that if an almost periodic difference equation has an exponential dichotomy on a sufficiently long finite interval, then
Rafael Obaya, Jialin Hong
exaly   +2 more sources

Exponential dichotomy roughness on Banach spaces [PDF]

Journal of Mathematical Analysis and Applications, 2006
In the present paper we extend existing results on exponential dichotomy roughness for linear ODE systems to infinite dimensional Banach space. We give new conditions for the existence of exponential dichotomy roughness in infinite dimensional space and ...
Liviu Horia Popescu
exaly   +2 more sources

Uniform dichotomy and exponential dichotomy of evolution families on the half-line [PDF]

Journal of Mathematical Analysis and Applications, 2006
The aim of this paper is to give characterizations for uniform and exponential dichotomies of evolution families on the half-line. We associate with a discrete evolution family Φ={Φ(m,n)}(m,n)∈Δ the subspace X1={x∈X:Φ(⋅,0)x∈ℓ∞(N,X)}. Supposing that X1 is
Bogdan Sasu
exaly   +2 more sources

Criteria for exponential dichotomy for triangular systems

Journal of Mathematical Analysis and Applications, 2015
We study the exponential dichotomy properties of nonautonomous systems of linear differential equations. Any such system is kinematically similar to a triangular system.
Flaviano Battelli, Kenneth Palmer
exaly   +2 more sources

On Roughness of Exponential Dichotomy [PDF]

Journal of Mathematical Analysis and Applications, 2001
We present new perturbation theorems on the roughness of exponential dichotomy, which improve previous results. The proofs given here are also much simpler compared with previous ones.
Stephen Wiggins, Ning Ju
exaly   +2 more sources

Exponential dichotomy of difference equations and applications to evolution equations on the half-line [PDF]

Computers and Mathematics With Applications, 2001
For a sequence of bounded linear operator {An}∞n=0 on a Banach space X, we investigate the characterization of exponential dichotomy of the difference equations vn+1 = Anvn.
Minh Nguyen, Nguyen Thieu Huy
exaly   +2 more sources

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Strong exponential dichotomy of discrete nonautonomous systems: Input-output criteria and strong dichotomy radius

Journal of Mathematical Analysis and Applications, 2021
Adina Luminita Sasu, Bogdan Sasu
exaly